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==== Список публикаций ==== | ==== Список публикаций ==== | ||
+ | Полный список публикаций доступен [[http:// | ||
- | - Tropical polyhedra are equivalent | + | - 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 | ||
+ | - 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 | ||
+ | - 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, | ||
+ | - 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 | ||
+ | - 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 | ||
+ | - 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, | - 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, | - 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 | - Additive Frobenius endomorphisms for Sylvester and related bounds (with Graca Soares), Contributions to General Algebra, Verlag Johannes Heyn, 19, 2010, 91-102 |