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 ====Tentative list of publications:==== ====Tentative list of publications:====
  
- - Characteristic sequences of non-associative algebras (with D.KKudryavtsev) // Communications in Algebra, 48(4), 2000, 1713-1725 +The most recent list of publications is available at [[http://istina.msu.ru/profile/Guterman/]]
  
- - Orthogonality for (0,-1) tropical normal matrices (with B. Bakhadly and M. J. de la Puente) // Special Matrices, 8, 2020, 40-60 +  - Non-surjective linear transformations of tropical matrices preserving the cyclicity index (with E. Kreines, A. Vlasov) Kybernetika, to appear, 2022 
- +  - Pairs of maps preserving singularity on subsets of matrix algebras (with   A.M. Maksaev, V.V.  Promyslov)  Linear Algebra and Its Applications, 2022, 644, 1–27 
-  - Permanent Polya problem for additive surjective maps (with I.A. Spiridonov) // Linear Algebra and Its Applications, 599, 2020, 140-155 +  - On the lengths of group algebras of finite abelian groups in the semi-simple case (with M.~Khrystik, O.~Markova) Journal of Algebra and its Applications, 2022, 2250140-2250153 
- +  - On the lengths of group algebras of finite abelian groups in the modular case (with M.A.~Khrystik, O.V. Markova)   Journal of Algebra and its Applications, 2022, 2250117-2250130  
-  - Upper bounds for the length of non-associative algebras (with D.K. Kudryavtsev) // Journal of Algebra, 544, 2020, 483-497 +  - On the lengths of standard composition algebras (with S.A.  Zhilina)  Communications in Algebra, 2022, 50:3, 1092-1105 
- +  - Linear functions preserving Green's relations over fields (with  M. Johnson, M. Kambites, A.~Maksaev)  Linear Algebra and its Applications, 2021, 611, 310-333  
-  - Linear transformtions preserving majorizations for matrix tuples (with P. Shteyner) // Vestnik St.Petersburg University, Mathematics, 53(2), 2020, 136144 +  - Transformations of assembly number for 4-regular graphs (with  E.M. Kreines, N.V.  Ostroukhova)  Zapiski POMI, 2021,  504 (2021)  21-46. 
- +  - Linear converters of weak, directional and strong majorizations (with P. Shteyner)   Linear Algebra and its Applications, 2021, 613, 320-346 
-  - 2-words, their graphs and matrices (with E.M. Kreines and N.V. Ostroukhova) // Zapiski Nauch. Sem. POMI, 482, 2019, 45-72 +  - Length function and characteristic sequences of quadratic algebras (with D.K. Kudryavtsev)  Journal of Algebra, 2021, 579, 428–455  
- +  - Integrability of diagonalizable matrices and a dual Schoenberg type inequality (with S. Danielyan,  T.W. Ng) Journal of Mathematical Analysis and Applications, 2021, 498:2, 124909, 22 pp  
-  - Graph characterization of fully indecomposable nonconvertible (0,1)-matrices with minimal number of ones (with M. Budrevich, G. Dolinar Gregor, B. Kuzma) // Ars Mathematica Contemporanea, 17(1), 2019, 141-151 +  - Converting immanants on skew-symmetric matrices (with M.A. Duffner,  I.A. Spiridonov)   Linear Algebra and its Applications, 2021, 618, 76-96 
- +  - Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces (with  L. Arambašić, B.  Kuzma, R. Rajić,  S. Zhilina) Journal of Mathematical Analysis and Applications, 2021, 502:1, 125203, 16 pp  
-  - Krauter conjecture on permanents is true (with M.V. Budrevich) // Journal of Combinatorial Theory - Series A, 162, 2019, 306-343 +  - Operators preserving mutual strong Birkhoff-James orthogonality on B(H) (with  L. Arambašić, B.  Kuzma, R. Rajić,  S. Zhilin)  Linear Algebra and its Applications, 2021, 624, 27-43  
- +  - Upper bounds on scrambling index for non-primitive digraphs (with  A.M. Maksaev)  Linear and Multilinear Algebra, 2021, 69:11, 2143-2168  
-  - Length realizability for pairs of quasi-commuting matrices (with O. Markova, V. Mehrmann) // Linear Algebra and Its Applications, 568, 2019, 135-154 +  - Linear transformations of tropical matrices preserving the cyclicity index (with E. Kreines,  C.  Thomassen)  Special Matrices, 2021, 9, 112-118  
- +  - Linear immanant converters on skew-symmetric matrices of order 4 (with M.A. Duffner, I.A. Spiridonov) Journal of Mathematical Sciences, 2021, 255:3, 242–253 
-  - More on geometry of Krein space C-numerical range (with R. Lemos and G. Soares) // Applied Mathematics and Computation, 352, 2019, 258-269 +  - Relation graphs of the sedenion algebra (with  S.A. Zhilina) Journal of Mathematical Sciences, 2021, 255:3, 254–270 
- +  - Orthograph related to mutual strong Birkhof-James orthogonality in $C^*$-algebras (with  L. Arambašić, B.  Kuzma, R. Rajić,  S. Zhilin)  Banach Journal of Mathematical Analysis, 2020, 14:4, 1751 – 1772 
-  -   - Double centralizing theorem with respect to q-commutativity relation (with Gregor Dolinar, Bojan Kuzma, Olga Markova) // Journal of Algebra and its Applications, 18(1), 2019, 1-15 +  - The length of the group algebra of the group $Q_8$ (with O.V. Markova) New Trends in Algebras and Combinatorics. World Scientific Publ, 2020, 105-133, doi: 10.1142/9789811215476\_0010 
-  -   - Additive maps preserving scrambling index are bijective (with A.M. Maksaev) // Acta Mathematica Hungarica, 84(1-2), 2018, 19-38 +  - Higher-distance commuting varieties (with M. Elyze, R.  Morrison, K. \v{S}ivic) Linear and Multilinear Algebra, 2020, doi: 10.1080/03081087.2020. 1834493 
-  -   - Majorization for matrix classes (with Geir Dahl and Pavel Shteyner) // Linear Algebra and Its Applications, 555, 2018, 201-221 +  - Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev)  Communications in Algebra, 48(4), 2020, 1713-1725 
-  -   - Extremal generalized centralizers in matrix algebras (with G. Dolinar, B. Kuzma, O. Markova) // Communications in Algebra, 46(7), 2018, 3147-3154 +  - Majorization for (0,1)-matrices (with G. Dahl and P. Shteyner)   Linear Algebra and Its Applications, 585, 2020, 147-163  
-  -   - A resolution of Paz’s conjecture in the presence of a nonderogatory matrix (with T. Laffey, O. Markova, H. Smigoc) // Linear Algebra and Its Applications, 543, 2018 234-250 ˇ +  - Orthogonality for (0,-1) tropical normal matrices (with B. Bakhadly and M. J. de la Puente)   Special Matrices, 8, 2020, 40-60 
-  -   - On Hartwig–Nambooripad orders (with X. Mary, P. Shteyner) // Semigroup Forum (2018). https://doi.org/10.1007/s00233-018-9940-7 +  - Permanent Polya problem for additive surjective maps (with I.A. Spiridonov) Linear Algebra and Its Applications, 599, 2020, 140-155 
-  -   - Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields (with Marianne Johnson, Mark Kambites) // Linear Algebra and Its Applications, 545, 2018, 1-14 +  - Upper bounds for the length of non-associative algebras (with D.K. Kudryavtsev) Journal of Algebra, 544, 2020, 483-497 
-  -   - Monotone linear maps of matrices over semirings (with E.M. Kreines, Q.-W. Wang) // Journal of Mathematical Sciences (New York), 233(5), 2018, 675-686 +  - Linear transformtions preserving majorizations for matrix tuples (with P. Shteyner) Vestnik St.Petersburg University, Mathematics, 53(2), 2020, 136-144 
-  -   - Maps preserving scrambling index (with Maksaev A.M.) Linear and Multilinear Algebra, 69(4), 2018, 840-851 +  - 2-words, their graphs and matrices (with E.M. Kreines and N.V. Ostroukhova) Zapiski Nauch. Sem. POMI, 482, 2019, 45-72 
-  -   - Converting immanants on singular symmetric matrices (with Duffner A.) // Lobachevskii Journal of Mathematics, 38(4), 2017, 630-636 +  - Graph characterization of fully indecomposable nonconvertible (0,1)-matrices with minimal number of ones (with M. Budrevich, G. Dolinar Gregor, B. Kuzma) Ars Mathematica Contemporanea, 17(1), 2019, 141-151 
-  -   - The lengths of the quaternion and octonion algebras (with Kudryavtsev D.K.) // Journal of Mathematical Sciences (New York), 224(6), 2017, 826-833 +  - Krauter conjecture on permanents is true (with M.V. Budrevich) Journal of Combinatorial Theory - Series A, 162, 2019, 306-343 
-  -   - Preserving 0 and 1 values of the scrambling index (with Maksaev A.M.) // Proceedings of the Fourth Russian Finnish Symposium on Discrete Mathematics: Organized in Turku on 16.-19.5.2017, Turku Center for Computer Science, Turku. 57-59 +  - Length realizability for pairs of quasi-commuting matrices (with O. Markova, V. Mehrmann) Linear Algebra and Its Applications, 568, 2019, 135-154 
-  -   - Lower bound for Polya problem on permanent (with Mikhail V. Budrevich, Gregor Dolinar, Bojan Kuzma) // International Journal of Algebra and Computation, 26(6), 2016, 1237-1255 +  - More on geometry of Krein space C-numerical range (with R. Lemos and G. Soares) Applied Mathematics and Computation, 352, 2019, 258-269 
-  -   - Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) // Linear Algebra and Its Applications, 498, 2016, 450-470 +  - Double centralizing theorem with respect to q-commutativity relation (with Gregor Dolinar, Bojan Kuzma, Olga Markova) Journal of Algebra and its Applications, 18(1), 2019, 1-15 
-  - 26. Rank functions of tropical matrices (with Ya. Shitov) // Linear Algebra and its Applications, 498, 2016, 326-348 +  - Additive maps preserving scrambling index are bijective (with A.M. Maksaev) Acta Mathematica Hungarica, 84(1-2), 2018, 19-38 
-  -   - On the C-determinantal range for special classes of matrices (with R. Lemos and G. Soares) // Applied Mathematics and Computation (New York), 275, 2016, 86-94. +  - Majorization for matrix classes (with Geir Dahl and Pavel Shteyner) Linear Algebra and Its Applications, 555, 2018, 201-221 
-  -   - The realizability problem for the values of the length function of quasi-commuting matrix pairs (with Markova O.V.) // Journal of Mathematical Sciences (New York), 216(6), 2016, 761-769 +  - Extremal generalized centralizers in matrix algebras (with G. Dolinar, B. Kuzma, O. Markova) Communications in Algebra, 46(7), 2018, 3147-3154 
-  -   - Continuous monotone matrix maps for orders induced by the group inverse (with Efimov M.A.) // Journal of Mathematical Inequalities, 10(1), 2016, 123-133 +  - A resolution of Paz’s conjecture in the presence of a nonderogatory matrix (with T. Laffey, O. Markova, H. Smigoc)  Linear Algebra and Its Applications, 543, 2018 234-250 ˇ 
-  -   - Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) // Linear Algebra and Its Applications, 498, 2016, 450-470 +  - On Hartwig–Nambooripad orders (with X. Mary, P. Shteyner) Semigroup Forum (2018). doi.org/10.1007/s00233-018-9940-7 
-  -   - New matrix partial order based on spectrally orthogonal matrix decomposition (with A. Herrero, N. Thome) // Linear and Multilinear Algebra, 64(3), 2016, 362-374 +  - Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields (with Marianne Johnson, Mark Kambites) Linear Algebra and Its Applications, 545, 2018, 1-14 
-  -   - On the divisibility of permanents for (+/-1)-matrices (with Budrevich M.V., Taranin K.A.) // Journal of Mathematical Sciences (New York), 216(6), 2016, 738-745 +  - Monotone linear maps of matrices over semirings (with E.M. Kreines, Q.-W. Wang) Journal of Mathematical Sciences (New York), 233(5), 2018, 675-686 
-  -   - The arctic rank of a Boolean matrix (with Beasley L.B., Shitov Ya. N.) // Journal of Algebra, 433, 2015, 168-182 +  - Maps preserving scrambling index (with Maksaev A.M.) Linear and Multilinear Algebra, 69(4), 2018, 840-851 
-  -   - Maps on operators strongly preserving sharp order (with Efimov M.A.) // Operators and Matrices, 9(3), 2015, 711-731 +  - Converting immanants on singular symmetric matrices (with Duffner A.) Lobachevskii Journal of Mathematics, 38(4), 2017, 630-636 
-  -   - Graphs Defined by Orthogonality (with B.R. Bakhadly, O.V. Markova) // Journal of Mathematical Sciences (New York), 207(5), 2015, 698-717 +  - The lengths of the quaternion and octonion algebras (with Kudryavtsev D.K.) Journal of Mathematical Sciences (New York), 224(6), 2017, 826-833 
-  -   - Characterizing monotone maps on matrices and operators, Classical and Functional Analisys, Ser. 2-3, Transilvania University Press Brasov, Romania, 2015, 5-16 +  - Preserving 0 and 1 values of the scrambling index (with Maksaev A.M.) Proceedings of the Fourth Russian Finnish Symposium on Discrete Mathematics: Organized in Turku on 16.-19.5.2017, Turku Center for Computer Science, Turku. 57-59 
-  -   - Immanant conversion on symmetric matrices (with C. Purifica¸c˜ao, A. Duffner) // Special Matrices, 2(1), 2014, 1-10. +  - Lower bound for Polya problem on permanent (with Mikhail V. Budrevich, Gregor Dolinar, Bojan Kuzma) International Journal of Algebra and Computation, 26(6), 2016, 1237-1255 
-  -   - Guterman A. E., On the Polya conversion problem for permanents and determinants // Journal of Mathematical Sciences, 187(6), 2014, 782-786. +  - Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) Linear Algebra and Its Applications, 498, 2016, 450-470 
-  -   - Monotone maps on diagonalizable matrices (with M.A. Efimov), Mathematical Inequalities and Applications, 17(4), 2014, 1441-1452. +  - Rank functions of tropical matrices (with Ya. Shitov) Linear Algebra and its Applications, 498, 2016, 326-348 
-  -   - Tropical Cramer determinants revisited (with M. Akian, S. Gaubert) American Mathematical Society, Contemporary Mathematics, 616, Amer. Math. Soc., Providence, RI, 2014, 1-45. +  - On the C-determinantal range for special classes of matrices (with R. Lemos and G. Soares) Applied Mathematics and Computation (New York), 275, 2016, 86-94. 
-  -   - The algebra of semi-magic matrices and its length (with O.V. Markova, S.D. Sochnev) // Zapiski POMI, 419, 2013, 52-77. +  - The realizability problem for the values of the length function of quasi-commuting matrix pairs (with Markova O.V.)  Journal of Mathematical Sciences (New York), 216(6), 2016, 761-769 
-  -   - Commuting graphs and extremal centralizers (with G. Dolinar, B. Kuzma, P. Oblak)Ars Mathematica Contemporanea, 7(2), 2014, 453-459. +  - Continuous monotone matrix maps for orders induced by the group inverse (with Efimov M.A.) Journal of Mathematical Inequalities, 10(1), 2016, 123-133 
-  -   - Commutativity preservers via matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak)Publicationes Mathematicae Debrecen, 84(3-4) (2014), 439-450. +  - Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) Linear Algebra and Its Applications, 498, 2016, 450-470 
-  -   - Extremal matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak)Linear Algebra and its Applications, 438(7), 2013, 2904-2910 +  - New matrix partial order based on spectrally orthogonal matrix decomposition (with A. Herrero, N. Thome) Linear and Multilinear Algebra, 64(3), 2016, 362-374 
-  -   - Extremal case in Marcus-Oliveira conjecture and beyond (with R. Lemos, and G. Soares)Linear and Multilinear Algebra, 61(9), 2013, 1206-1222. +  - On the divisibility of permanents for (+/-1)-matrices (with Budrevich M.V., Taranin K.A.) Journal of Mathematical Sciences (New York), 216(6), 2016, 738-745 
-  -   - Permanent versus determinant over a finite field (with G. Dolinar, B. Kuzma, M. Orel)Journal of Mathematical Sciences (New-York), 193(3), 2013, 404-412. +  - The arctic rank of a Boolean matrix (with Beasley L.B., Shitov Ya. N.) Journal of Algebra, 433, 2015, 168-182 
-  -   - Monotone maps on index one matrices (with M.A. Efimov), Zapiski POMI, 405, 2012, 67-96. +  - Maps on operators strongly preserving sharp order (with Efimov M.A.) Operators and Matrices, 9(3), 2015, 711-731 
-  -   - On the Gibson bounds over finite fields (with M.V. Budrevich), Serdica Math. J. 2012, 38, +  - Graphs Defined by Orthogonality (with B.R. Bakhadly, O.V. Markova) Journal of Mathematical Sciences (New York), 207(5), 2015, 698-717 
-  - 395-416 +  - Characterizing monotone maps on matrices and operators, Classical and Functional Analysis, Ser. 2-3, Transilvania University Press Brasov, Romania, 2015, 5-16 
-  -   - Automorphisms of B(H) with respect to the left-star and the right-star partial order (with G. +  - Immanant conversion on symmetric matrices (with C. Purificacao, A. Duffner) Special Matrices, 2(1), 2014, 1-10. 
-  - Dolinar and J. Marovt)Mathematical Inequalities and Applications, 17(2), 2014, 573-589. +  - On the Polya conversion problem for permanents and determinantsJournal of Mathematical Sciences, 187(6), 2014, 782-786 
-  -   - Students Olympiads in Algebra at the Department of Mathematics and Mechanics, MSU +  - Monotone maps on diagonalizable matrices (with M.A. Efimov), Mathematical Inequalities and Applications, 17(4), 2014, 1441-1452 
-  - (with I.V. Arzhantsev, V.V. Batyrev, E.I. Bunina, E.S. Golod, M.V. Zaicev, A.I. Zobnin, A.A. Klyachko, V.T. Markov, A.A. Nechaev, A.Yu. Olshanskii, E.A. Porshnev, Yu.G. +  - Tropical Cramer determinants revisited (with M. Akian, S. Gaubert) American Mathematical Society, Contemporary Mathematics, 616, Amer. Math. Soc., Providence, RI, 2014, 1-45 
-  - Prokhorov), Moscow, MCCME, 2012, pp. 72. +  - The algebra of semi-magic matrices and its length (with O.V. Markova, S.D. Sochnev) Zapiski POMI, 419, 2013, 52-77. 
-  -   - Permanent has less zeros than determinant over finite fields (with M. Budrevich)American +  - Commuting graphs and extremal centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Ars Mathematica Contemporanea, 7(2), 2014, 453-459 
-  - Mathematical Society, Contemporary Mathematics, 579, 2012, 33-42 +  - Commutativity preservers via matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Publicationes Mathematicae Debrecen, 84(3-4) (2014), 439-450 
-  -   - On the Polya permanent problem over finite fields (with G. Dolinar, B. Kuzma, M. Orel)European Journal of Combinatorics, 32, 2011, 116-132. +  - Extremal matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Linear Algebra and its Applications, 438(7), 2013, 2904-2910 
-  -   - On Gibson barrier for Polya problem (with G. Dolinar, B. Kuzma),  Fundamental and Applied Mathematics, 16(8), 2010, 73-86 +  - Extremal case in Marcus-Oliveira conjecture and beyond (with R. Lemos, and G. Soares) Linear and Multilinear Algebra, 61(9), 2013, 1206-1222 
-  -   - Operators preserving primitivity for matrix pairs (with L.B. Beasley), Matrix Methods: Theory, Algorithms, Applications, Word Scientific Publishing, 2010, 2-20 +  - Permanent versus determinant over a finite field (with G. Dolinar, B. Kuzma, M. Orel) Journal of Mathematical Sciences (New-York), 193(3), 2013, 404-412 
-  -   - Additive Frobenius endomorphisms for Sylvester and related bounds (with Graca Soares), Contributions to General Algebra, Verlag Johannes Heyn, 19, 2010, 91-102 +  - Monotone maps on index one matrices (with M.A. Efimov), Zapiski POMI, 405, 2012, 67-96. 
-  -   - The correspondence between tropical convexity and mean payoff games (with Marianne Akian, Stephane Gaubert), Mathematical Theory of Networks and Systems, 2010, 1295-1302 +  - On the Gibson bounds over finite fields (with M.V. Budrevich), Serdica Math. J. 2012, 38, 395-416 
-  -   - On the independence numbers of distance graphs with vertices at $\{-1,0,1\}\sp n$: bounds, conjectures and applications to the problems by Nelson-Erdos-Hadviger and Borsuk. (with V.K. Lyubimov, A.M. Raigorodskii, S.A. Usachev), Contemporary Mathematics and Applications, 65, 2009, 82-100. +  - Automorphisms of B(H) with respect to the left-star and the right-star partial order (with G. Dolinar and J. Marovt) Mathematical Inequalities and Applications, 17(2), 2014, 573-589. 
-  -   - Frobenius endomorphisms of matrix spaces and their applications, Operator Theory and Operator Algebras, 2009, 33-42. +  - Students Olympiads in Algebra at the Department of Mathematics and Mechanics, MSU (with I.V. Arzhantsev, V.V. Batyrev, E.I. Bunina, E.S. Golod, M.V. Zaicev, A.I. Zobnin, A.A. Klyachko, V.T. Markov, A.A. Nechaev, A.Yu. Olshanskii, E.A. Porshnev, Yu.G. Prokhorov), Moscow, MCCME, 2012, pp. 72. 
-  -   - On the independence numbers of distance graphs with vertices at $\{-1,0,1\}\sp n$. ( with V.K. Lyubimov, A.M. Raigorodskii, S.A. Usachev),  Mat. Zametki,  86,  (2009), no. 5, 794--796. +  - Permanent has less zeros than determinant over finite fields (with M. Budrevich) American Mathematical Society, Contemporary Mathematics, 579, 2012, 33-42 
-  -   - Frobenius Endomorphisms on matrix spaces  (with  A.V. Mikhalev), Contemporary Problems of Mathematics and Mechanics, 4(3), 2009, 71-105. +  - On the Polya permanent problem over finite fields (with G. Dolinar, B. Kuzma, M. Orel) European Journal of Combinatorics, 32, 2011, 116-132 
-  -   - Matrix ranks and linear independence over tropical semirings (with M. Akian, S. Gaubert), American Mathematical Society, Contemporary Mathematics, 495, 2009, 1-33. +  - On Gibson barrier for Polya problem (with G. Dolinar, B. Kuzma),  Fundamental and Applied Mathematics, 16(8), 2010, 73-86 
-  -   - Preserving zeros of a polynomial (with B. Kuzma), Communications in Algebra, 37(11), 2009, 3801-3827. +  - Operators preserving primitivity for matrix pairs (with L.B. Beasley), Matrix Methods: Theory, Algorithms, Applications, Word Scientific Publishing, 2010, 2-20 
-  -   - Matrix invariants over semirings, Handbook of Algebra, Elseiver, 6, 2009, 3-33. +  - Additive Frobenius endomorphisms for Sylvester and related bounds (with Graca Soares), Contributions to General Algebra, Verlag Johannes Heyn, 19, 2010, 91-102 
-  -   - The characterization of operators preserving primitivity for matrix k-tuples (with L. B. Beasley), Linear Algebra and its Applications, 430, 2009, 1762-1777.  +  - The correspondence between tropical convexity and mean payoff games (with Marianne Akian, Stephane Gaubert), Mathematical Theory of Networks and Systems, 2010, 1295-1302 
-  -   - Commutative matrix subalgebras and length function (with O. V. Markova), Linear Algebra and its Applications, 430, 2009, 1790-1805.  +  - On the independence numbers of distance graphs with vertices at $\{-1,0,1\}\sp n$: bounds, conjectures and applications to the problems by Nelson-Erdos-Hadviger and Borsuk. (with V.K. Lyubimov, A.M. Raigorodskii, S.A. Usachev), Contemporary Mathematics and Applications, 65, 2009, 82-100. 
-  -   - Maps preserving zeros of matrix polynomials (with B. Kuzma), Doklady of Russian Academy of Sciences, Mathematics, 427(3), 2009, 300-302. +  - Frobenius endomorphisms of matrix spaces and their applications, Operator Theory and Operator Algebras, 2009, 33-42. 
-  -   - Preserving regular tournaments and term rank-1 (with L.B. Beasley, D. Brown), Linear Algebra and its Applications, 431, 2009, 926-936. +  - On the independence numbers of distance graphs with vertices at $\{-1,0,1\}\sp n$. ( with V.K. Lyubimov, A.M. Raigorodskii, S.A. Usachev),  Mat. Zametki,  86,  (2009), no. 5, 794--796. 
-  -   - Operators preserving primitivity for matrix pairs (with L. B. Beasley), Matrix Methods: Theory, Algorithms, Applications, Word Scientific Publishing, 2008, 2-20.  +  - Frobenius Endomorphisms on matrix spaces  (with  A.V. Mikhalev), Contemporary Problems of Mathematics and Mechanics, 4(3), 2009, 71-105. 
-  -   - On linear operators preserving the set of positive polynomials (with B. Shapiro), Journal of Fixed Point Theory and Applications, 3 (2), 2008, 411-429. +  - Matrix ranks and linear independence over tropical semirings (with M. Akian, S. Gaubert), American Mathematical Society, Contemporary Mathematics, 495, 2009, 1-33. 
-  -   - Characterization of transformations strongly preserving zeros of matrix polynomials (with B. Kuzma), Uspehi Mat. Nauk, 63(5), 2008, 184-185. [in   Russian]   +  - Preserving zeros of a polynomial (with B. Kuzma), Communications in Algebra, 37(11), 2009, 3801-3827. 
-  -   - Rank and determinant functions for semirings, London Mathematical Society Lecture Notes, 347, 2007, 1-33. +  - Matrix invariants over semirings, Handbook of Algebra, Elseiver, 6, 2009, 3-33. 
-  -   - Transformations preserving matrix invariants over semirings, Idempotent and tropical mathematics and problems of mathematical physics, Moscow, MCCME, 1, 2007, 84-90 +  - The characterization of operators preserving primitivity for matrix k-tuples (with L. B. Beasley), Linear Algebra and its Applications, 430, 2009, 1762-1777.  
-  -   - Monotone additive transformations on matrices, Mat. Zametki, 81(5), 2007, 681–692. +  - Commutative matrix subalgebras and length function (with O. V. Markova), Linear Algebra and its Applications, 430, 2009, 1790-1805.  
-  -   - Monotone matrix mappings defined by the group inverse and simultaneous diagonalizability (with I. I. Bogdanov), Mat. Sbornik, 198(1), 2007, 3-20. +  - Maps preserving zeros of matrix polynomials (with B. Kuzma), Doklady of Russian Academy of Sciences, Mathematics, 427(3), 2009, 300-302. 
-  -   - Idempotent matrices and majorisation (with L. B. Beasley, K.-T. Kang, S.-Z. Song), Fundamental and Applied Mathematics, 13(1), 2007, 11-29. +  - Preserving regular tournaments and term rank-1 (with L.B. Beasley, D. Brown), Linear Algebra and its Applications, 431, 2009, 926-936. 
-  -   - Frobenius and Dieudonne theorems over semirings (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear and Multilinear Algebra, 55(1), 2007, 19-34 +  - Operators preserving primitivity for matrix pairs (with L. B. Beasley), Matrix Methods: Theory, Algorithms, Applications, Word Scientific Publishing, 2008, 2-20.  
-  -   - Linear preservers of extremes of rank inequalities over semirings: the row and column ranks (with L. B. Beasley, Y.-B. Jun, S.-Z. Song), Linear Algebra Appl., 413, 2006, 495-509 +  - On linear operators preserving the set of positive polynomials (with B. Shapiro), Journal of Fixed Point Theory and Applications, 3 (2), 2008, 411-429. 
-  -   - Rank-permutable additive mappings (with A. A. Alieva, B. Kuzma), Linear Algebra Appl., 414, 2006, 607-616 +  - Characterization of transformations strongly preserving zeros of matrix polynomials (with B. Kuzma), Uspehi Mat. Nauk, 63(5), 2008, 184-185. [in   Russian]   
-  -   - Linear preservers for Sylvester and Frobenius bounds on matrix rank (with L. B. Beasley, C. L. Neal), Rocky Mountain Journal of Mathematics, 86(1), 2006, 67-80 +  - Rank and determinant functions for semirings, London Mathematical Society Lecture Notes, 347, 2007, 1-33. 
-  -   - Linear preservers of zeros of matrix polynomials (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications,  2005, 401, 325-340 +  - Transformations preserving matrix invariants over semirings, Idempotent and tropical mathematics and problems of mathematical physics, Moscow, MCCME, 1, 2007, 84-90 
-  -   - Monotone linear transformations on matrices are invertible (with A. A. Alieva), Communications in Algebra, 33, 2005, 3335-3352 +  - Monotone additive transformations on matrices, Mat. Zametki, 81(5), 2007, 681–692. 
-  -   - Rank inequalities over semirings (with L. B. Beasley), Journal of Korean Math. Soc., 42(2), 2005, 223-241 +  - Monotone matrix mappings defined by the group inverse and simultaneous diagonalizability (with I. I. Bogdanov), Mat. Sbornik, 198(1), 2007, 3-20. 
-  -   - Factor rank for nonnegative matrices (with O. A. Vaysman), Chebyshevskii Sbornik, 6(4), 2005, 64-67 [in Russian] +  - Idempotent matrices and majorisation (with L. B. Beasley, K.-T. Kang, S.-Z. Song), Fundamental and Applied Mathematics, 13(1), 2007, 11-29. 
-  -   - Linear preservers of extremes of rank inequalities over semirings: term rank and zero-term rank (with L. B. Beasley and S.-C. Yi), Fundamental and Applied Mathematics, 10(2), 2004, 3-21 [in Russian] +  - Frobenius and Dieudonne theorems over semirings (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear and Multilinear Algebra, 55(1), 2007, 19-34 
-  -   - Linear preservers of rank permutability (with A. A. Alieva), Linear Algebra and its Applications, 384, 2004, 97-108 +  - Linear preservers of extremes of rank inequalities over semirings: the row and column ranks (with L. B. Beasley, Y.-B. Jun, S.-Z. Song), Linear Algebra Appl., 413, 2006, 495-509 
-  -   - Linear Transformations Preserving the Grassmannian over M_n(Z+) (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications, 393, 2004, 39-46 +  - Rank-permutable additive mappings (with A. A. Alieva, B. Kuzma), Linear Algebra Appl., 414, 2006, 607-616 
-  -   - Linear Transformations Preserving Matrix Invariants (with A.V. Mikhalev), Mathematics. Mechanics. Informatics. 10 years RFFI. Fizmatlit, 2004, 501(3),165-186 [in Russian] +  - Linear preservers for Sylvester and Frobenius bounds on matrix rank (with L. B. Beasley, C. L. Neal), Rocky Mountain Journal of Mathematics, 86(1), 2006, 67-80 
-  -   - LP-problems for rank inequalities over semirings: factorization rank (with L.B. Beasley), Sovrem. Mat. Prilozh.  Algebra, 13, 2004, 53-70 [in Russian] +  - Linear preservers of zeros of matrix polynomials (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications,  2005, 401, 325-340 
-  -   - Rank permutability and additive operators preserving some rank product conditions (with A. A. Alieva), Fundamental and Applied Mathematics, 10(4), 2004, 3-14 [in Russian] +  - Monotone linear transformations on matrices are invertible (with A. A. Alieva), Communications in Algebra, 33, 2005, 3335-3352 
-  -   - Linear transformations preserving rank-commutativity (with A. A. Alieva), Bull. of the Moscow State University. Ser. 1. Mathematics. Mechanics, 6, 2003, 11-17 [in Russian]  +  - Rank inequalities over semirings (with L. B. Beasley), Journal of Korean Math. Soc., 42(2), 2005, 223-241 
-  -   - Transformations of non-negative integer matrices preserving the determinant, Uspehi Mat. Nauk, 58(6), 2003 147-148 [in Russian] +  - Factor rank for nonnegative matrices (with O. A. Vaysman), Chebyshevskii Sbornik, 6(4), 2005, 64-67 [in Russian] 
-  -   - Monotone Matrix Maps Preserve Non-Maximal Rank, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 2003, 311-328 +  - Linear preservers of extremes of rank inequalities over semirings: term rank and zero-term rank (with L. B. Beasley and S.-C. Yi), Fundamental and Applied Mathematics, 10(2), 2004, 3-21 [in Russian] 
-  -   - General Algebra and Linear Transformations Preserving Matrix Invariants (with A.V. Mikhalev), Fundamental and Applied Mathematics, 9(1), 2003, 83-101 [in Russian] +  - Linear preservers of rank permutability (with A. A. Alieva), Linear Algebra and its Applications, 384, 2004, 97-108 
-  -   - Linear transformations that preserve the Dieudonne determinant over an arbitrary division ring, Uspehi Mat. Nauk, 57(4), 2002, 171-172 [in Russian] +  - Linear Transformations Preserving the Grassmannian over M_n(Z+) (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications, 393, 2004, 39-46 
-  -   - Identities of near-triangular matrices, Matem. Sbornik, 192(6), 2001, 3-15 +  - Linear Transformations Preserving Matrix Invariants (with A.V. Mikhalev), Mathematics. Mechanics. Informatics. 10 years RFFI. Fizmatlit, 2004, 501(3),165-186 [in Russian] 
-  -   - Linear preservers for matrix inequalities and partial orderings, Linear Algebra and its Applications, 331, 2001, 75-87 +  - LP-problems for rank inequalities over semirings: factorization rank (with L.B. Beasley), Sovrem. Mat. Prilozh.  Algebra, 13, 2004, 53-70 [in Russian] 
-  -   - Frobenius type theorems in the noncommutative case, Linear and Multilinear Algebra, 48(4), 2001, 293-312  +  - Rank permutability and additive operators preserving some rank product conditions (with A. A. Alieva), Fundamental and Applied Mathematics, 10(4), 2004, 3-14 [in Russian] 
-  -   - Linear preservers for Drazin star partial order, Communications in Algebra, 29(9), 2001, 3905-3917 +  - Linear transformations preserving rank-commutativity (with A. A. Alieva), Bull. of the Moscow State University. Ser. 1. Mathematics. Mechanics, 6, 2003, 11-17 [in Russian]  
-  -   - Linear transformations, preserving super-rank, Mathematical Methods and Applications, MSSU, 8, 2001, 100-104 [in Russian] +  - Transformations of non-negative integer matrices preserving the determinant, Uspehi Mat. Nauk, 58(6), 2003 147-148 [in Russian] 
-  -   - Graded local rings, Fundamental and Applied Mathematics, 6(3), 2000, 753-756 [in Russian] +  - Monotone Matrix Maps Preserve Non-Maximal Rank, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 2003, 311-328 
-  -   - Some general techniques on Linear Preserver Problems (with C.-K. Li, P. Semrl), Linear Algebra and Applications, 315, 2000, 61-81 +  - General Algebra and Linear Transformations Preserving Matrix Invariants (with A.V. Mikhalev), Fundamental and Applied Mathematics, 9(1), 2003, 83-101 [in Russian] 
-  -   - Singularity preservers over local domains, Journal of Mathematical Sciences, 102(6), 2000, 4591-4597. +  - Linear transformations that preserve the Dieudonne determinant over an arbitrary division ring, Uspehi Mat. Nauk, 57(4), 2002, 171-172 [in Russian] 
-  -   - On the Growth of Identities (with A.Regev), Algebra. Berlin, New York: Walter de Gruyter, 2000, 319-331 +  - Identities of near-triangular matrices, Matem. Sbornik, 192(6), 2001, 3-15 
-  -   - On determinant preservers over noncommutative Principal Ideal Domains (with A. V. Mikhalev), Lie Algebras, Rings, and Related Topics, Hong Kong: Springer-Verlag, 2000, 49-60 +  - Linear preservers for matrix inequalities and partial orderings, Linear Algebra and its Applications, 331, 2001, 75-87 
-  -   - Ph. Hall type theorems for modules (with E. Kreines), Universal Algebra and its Applications, Volgograd, 2000, 60-72 +  - Frobenius type theorems in the noncommutative case, Linear and Multilinear Algebra, 48(4), 2001, 293-312  
-  -   - A note on linear preservers of a certain matrix partial order, Formal Power Series and Algebraic Combinatorics, Berlin: Shpringer-Verlag, 2000, 441-446 +  - Linear preservers for Drazin star partial order, Communications in Algebra, 29(9), 2001, 3905-3917 
-  -   - On the applications of Model Theory for the classifications of linear transformations preserving matrix invariants, Mathematical Methods and Applications, MSSU, 7, 2000, 53-57 [in Russian] +  - Linear transformations, preserving super-rank, Mathematical Methods and Applications, MSSU, 8, 2001, 100-104 [in Russian] 
-  -   - P. Hall’s theorem on transversals for modules (with E. Kreines), Fundamental and Applied Mathematics, 5(1), 1999, 119-130 [in Russian] +  - Graded local rings, Fundamental and Applied Mathematics, 6(3), 2000, 753-756 [in Russian] 
-  -   - Identities and codimensions of a certain subalgebra of triangular matrix algebra, Mathematical Methods and Applications, MSSU, 6, 1999, 79-82 [in Russian]  +  - Some general techniques on Linear Preserver Problems (with C.-K. Li, P. Semrl), Linear Algebra and Applications, 315, 2000, 61-81 
-  -   - Linear transformations preserving Adjamagbo determinant, Mathematical Methods and Applications, MSSU, 6, 1999, 67-72 [in Russian] +  - Singularity preservers over local domains, Journal of Mathematical Sciences, 102(6), 2000, 4591-4597. 
-  -   - Frobenius type results for matrices over the skew-fields (with E. M. Kreines, A. V. Mikhalev), Mathematical Methods and Applications, MSSU, 5, 1998, 119-132 [in Russian]  +  - On the Growth of Identities (with A.Regev), Algebra. Berlin, New York: Walter de Gruyter, 2000, 319-331 
-  -   - Frobenius type theorems (with A. V. Mikhalev), Proceedings of Workshop on General Algebra and Discrete Mathematics, Germany, Potsdam, 1998, Shaker Verlag Aachen, 1999, 102-112 +  - On determinant preservers over noncommutative Principal Ideal Domains (with A. V. Mikhalev), Lie Algebras, Rings, and Related Topics, Hong Kong: Springer-Verlag, 2000, 49-60 
 +  - Ph. Hall type theorems for modules (with E. Kreines), Universal Algebra and its Applications, Volgograd, 2000, 60-72 
 +  - A note on linear preservers of a certain matrix partial order, Formal Power Series and Algebraic Combinatorics, Berlin: Shpringer-Verlag, 2000, 441-446 
 +  - On the applications of Model Theory for the classifications of linear transformations preserving matrix invariants, Mathematical Methods and Applications, MSSU, 7, 2000, 53-57 [in Russian] 
 +  - P. Hall’s theorem on transversals for modules (with E. Kreines), Fundamental and Applied Mathematics, 5(1), 1999, 119-130 [in Russian] 
 +  - Identities and codimensions of a certain subalgebra of triangular matrix algebra, Mathematical Methods and Applications, MSSU, 6, 1999, 79-82 [in Russian]  
 +  - Linear transformations preserving Adjamagbo determinant, Mathematical Methods and Applications, MSSU, 6, 1999, 67-72 [in Russian] 
 +  - Frobenius type results for matrices over the skew-fields (with E. M. Kreines, A. V. Mikhalev), Mathematical Methods and Applications, MSSU, 5, 1998, 119-132 [in Russian]  
 +  - Frobenius type theorems (with A. V. Mikhalev), Proceedings of Workshop on General Algebra and Discrete Mathematics, Germany, Potsdam, 1998, Shaker Verlag Aachen, 1999, 102-112