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==== Список публикаций ==== | ==== Список публикаций ==== | ||
+ | Полный список публикаций доступен [[http:// | ||
- | - Tropical polyhedra are equivalent to mean payoff games (with Marianne Akian, Stephane Gaubert), International | + | - Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev) |
- | - Automorphisms | + | - Majorization for (0, |
- | - Permanent has less zeros than determinant | + | - Orthogonality for (0,-1) tropical normal matrices (with B. Bakhadly and M. J. de la Puente) |
- | - Проблема Полиа о конвертируемости для симметрических матриц | + | - Permanent Polya problem for additive surjective maps (with I.A. Spiridonov) Linear Algebra and Its Applications, |
- | - Tropical patterns | + | - Upper bounds for the length of non-associative algebras (with D.K. Kudryavtsev) |
+ | - 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 | ||
+ | - Length realizability for pairs of quasi-commuting matrices (with O. Markova, V. Mehrmann) Linear | ||
+ | - More on geometry | ||
+ | - Double centralizing theorem | ||
+ | - 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 | ||
+ | - 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 | ||
+ | - 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 | ||
+ | - 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 | ||
+ | - 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 | ||
+ | - 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 (+/ | ||
+ | | ||
+ | - 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) | ||
+ | - 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, | - 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), | - Барьеры Гибсона для проблемы Полиа (совместно с Г. Долинаром и Б. Кузьмой), |