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==== Список публикаций ==== | ==== Список публикаций ==== | ||
+ | Полный список публикаций доступен [[http:// | ||
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+ | - Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev) | ||
+ | - Majorization for (0, | ||
+ | - Orthogonality for (0,-1) tropical normal matrices (with B. Bakhadly and M. J. de la Puente) | ||
+ | - Permanent Polya problem for additive surjective maps (with I.A. Spiridonov) Linear Algebra and Its Applications, | ||
+ | - Upper bounds for the length of non-associative algebras (with D.K. Kudryavtsev) Journal of Algebra, 544, 2020, 483-497 | ||
+ | - Linear transformtions preserving majorizations for matrix tuples (with P. Shteyner) Vestnik St.Petersburg University, Mathematics, | ||
+ | - 2-words, their graphs and matrices (with E.M. Kreines and N.V. Ostroukhova) Zapiski Nauch. Sem. POMI, 482, 2019, 45-72 | ||
+ | - Graph characterization of fully indecomposable nonconvertible (0, | ||
+ | - Krauter conjecture on permanents is true (with M.V. Budrevich) Journal of Combinatorial Theory - Series A, 162, 2019, 306-343 | ||
+ | - Length realizability for pairs of quasi-commuting matrices (with O. Markova, V. Mehrmann) Linear Algebra and Its Applications, | ||
+ | - More on geometry of Krein space C-numerical range (with R. Lemos and G. Soares) Applied Mathematics and Computation, | ||
+ | - Double centralizing theorem with respect to q-commutativity relation (with Gregor Dolinar, Bojan Kuzma, Olga Markova) Journal of Algebra and its Applications, | ||
+ | - Additive maps preserving scrambling index are bijective (with A.M. Maksaev) Acta Mathematica Hungarica, 84(1-2), 2018, 19-38 | ||
+ | - Majorization for matrix classes (with Geir Dahl and Pavel Shteyner) Linear Algebra and Its Applications, | ||
+ | - Extremal generalized centralizers in matrix algebras (with G. Dolinar, B. Kuzma, O. Markova) Communications in Algebra, 46(7), 2018, 3147-3154 | ||
+ | - A resolution of Paz’s conjecture in the presence of a nonderogatory matrix (with T. Laffey, O. Markova, H. Smigoc) | ||
+ | - On Hartwig–Nambooripad orders (with X. Mary, P. Shteyner) Semigroup Forum (2018). doi.org/ | ||
+ | - Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields (with Marianne Johnson, Mark Kambites) Linear Algebra and Its Applications, | ||
+ | - 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 | ||
+ | - Maps preserving scrambling index (with Maksaev A.M.) Linear and Multilinear Algebra, 69(4), 2018, 840-851 | ||
+ | - Converting immanants on singular symmetric matrices (with Duffner A.) Lobachevskii Journal of Mathematics, | ||
+ | - The lengths of the quaternion and octonion algebras (with Kudryavtsev D.K.) Journal of Mathematical Sciences (New York), 224(6), 2017, 826-833 | ||
+ | - Preserving 0 and 1 values of the scrambling index (with Maksaev A.M.) Proceedings of the Fourth Russian Finnish Symposium on Discrete Mathematics: | ||
+ | - Lower bound for Polya problem on permanent (with Mikhail V. Budrevich, Gregor Dolinar, Bojan Kuzma) International Journal of Algebra and Computation, | ||
+ | - Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) Linear Algebra and Its Applications, | ||
+ | - Rank functions of tropical matrices (with Ya. Shitov) Linear Algebra and its Applications, | ||
+ | - 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 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 | ||
+ | - Continuous monotone matrix maps for orders induced by the group inverse (with Efimov M.A.) Journal of Mathematical Inequalities, | ||
+ | - Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) Linear Algebra and Its Applications, | ||
+ | - New matrix partial order based on spectrally orthogonal matrix decomposition (with A. Herrero, N. Thome) Linear and Multilinear Algebra, 64(3), 2016, 362-374 | ||
+ | - On the divisibility of permanents for (+/ | ||
+ | - The arctic rank of a Boolean matrix (with Beasley L.B., Shitov Ya. N.) Journal of Algebra, 433, 2015, 168-182 | ||
+ | - Maps on operators strongly preserving sharp order (with Efimov M.A.) Operators and Matrices, 9(3), 2015, 711-731 | ||
+ | - Graphs Defined by Orthogonality (with B.R. Bakhadly, O.V. Markova) Journal of Mathematical Sciences (New York), 207(5), 2015, 698-717 | ||
+ | - Characterizing monotone maps on matrices and operators, Classical and Functional Analysis, Ser. 2-3, Transilvania University Press Brasov, Romania, 2015, 5-16 | ||
+ | - Immanant conversion on symmetric matrices (with C. Purificacao, | ||
+ | - On the Polya conversion problem for permanents and determinants, | ||
+ | - Monotone maps on diagonalizable matrices (with M.A. Efimov), Mathematical Inequalities and Applications, | ||
+ | - Tropical Cramer determinants revisited (with M. Akian, S. Gaubert) American Mathematical Society, Contemporary Mathematics, | ||
+ | - The algebra of semi-magic matrices and its length (with O.V. Markova, S.D. Sochnev) Zapiski POMI, 419, 2013, 52-77. | ||
+ | - Commuting graphs and extremal centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Ars Mathematica Contemporanea, | ||
+ | - Commutativity preservers via matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Publicationes Mathematicae Debrecen, 84(3-4) (2014), 439-450 | ||
+ | - Extremal matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Linear Algebra and its Applications, | ||
+ | - Extremal case in Marcus-Oliveira conjecture and beyond (with R. Lemos, and G. Soares) Linear and Multilinear Algebra, 61(9), 2013, 1206-1222 | ||
+ | - 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 | ||
+ | - Monotone maps on index one matrices (with M.A. Efimov), Zapiski POMI, 405, 2012, 67-96. | ||
+ | - On the Gibson bounds over finite fields (with M.V. Budrevich), Serdica Math. J. 2012, 38, 395-416 | ||
+ | - 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, | ||
+ | - 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. | ||
+ | - Permanent has less zeros than determinant over finite fields (with M. Budrevich) American Mathematical Society, Contemporary Mathematics, | ||
+ | - On the Polya permanent problem over finite fields (with G. Dolinar, B. Kuzma, M. Orel), European Journal of Combinatorics, | ||
+ | - Барьеры Гибсона для проблемы Полиа (совместно с Г. Долинаром и Б. Кузьмой), | ||
+ | - Operators preserving primitivity for matrix pairs (with L.B. Beasley), Matrix Methods: Theory, Algorithms, Applications, | ||
+ | - Additive Frobenius endomorphisms for Sylvester and related bounds (with Graca Soares), Contributions to General Algebra, Verlag Johannes Heyn, 19, 2010, 91-102 | ||
+ | - The correspondence between tropical convexity and mean payoff games (with Marianne Akian, Stephane Gaubert), Mathematical Theory of Networks and Systems, 2010, 1295-1302 | ||
+ | - О числах независимости графов расстояний с вершинами в {-1,0,1}^n: оценки, | ||
- Frobenius endomorphisms of matrix spaces and their applications, | - Frobenius endomorphisms of matrix spaces and their applications, | ||
- | - А. Э. Гутерман, | + | - О числах независимости графов расстояний с вершинами в {-1, |
- Фробениусовы эндоморфизмы пространств матриц (совместно с А.В. Михалевым), | - Фробениусовы эндоморфизмы пространств матриц (совместно с А.В. Михалевым), | ||
- | - Matrix ranks and linear independence over tropical semirings (with M. Akian, S. Gaubert), American Mathematical Society, Contemporary Mathematics, | + | - Matrix ranks and linear independence over tropical semirings (with M. Akian, S. Gaubert), American Mathematical Society, Contemporary Mathematics, |
- Preserving zeros of a polynomial (with B. Kuzma), Communications in Algebra, 37(11), 2009, 3801-3827. | - Preserving zeros of a polynomial (with B. Kuzma), Communications in Algebra, 37(11), 2009, 3801-3827. | ||
- Matrix invariants over semirings, Handbook of Algebra, Elseiver, 6, 2009, 3-33. | - Matrix invariants over semirings, Handbook of Algebra, Elseiver, 6, 2009, 3-33. | ||
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- Linear Transformations Preserving the Grassmannian over M_n(Z+) (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications, | - Linear Transformations Preserving the Grassmannian over M_n(Z+) (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications, | ||
- LP-проблемы для ранговых неравенств над полукольцами: | - LP-проблемы для ранговых неравенств над полукольцами: | ||
+ | - Линейные отображения, | ||
- Linear preservers of rank permutability (with A.A. Alieva), Linear Algebra and its Applications, | - Linear preservers of rank permutability (with A.A. Alieva), Linear Algebra and its Applications, | ||
- Перестановочность ранга и аддитивные операторы, | - Перестановочность ранга и аддитивные операторы, |