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| ====Tentative list of publications: | ====Tentative list of publications: | ||
| - | - Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev) | + | The most recent list of publications is available at [[http:// |
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| + | - Non-surjective linear transformations of tropical matrices preserving the cyclicity index (with E. Kreines, A. Vlasov) Kybernetika, | ||
| + | - Pairs of maps preserving singularity on subsets of matrix algebras (with | ||
| + | - On the lengths of group algebras of finite abelian groups in the semi-simple case (with M.~Khrystik, | ||
| + | - On the lengths of group algebras of finite abelian groups in the modular case (with M.A.~Khrystik, | ||
| + | - On the lengths of standard composition algebras (with S.A. Zhilina) | ||
| + | - Linear functions preserving Green' | ||
| + | - Transformations of assembly number for 4-regular graphs (with E.M. Kreines, N.V. Ostroukhova) | ||
| + | - Linear converters of weak, directional and strong majorizations (with P. Shteyner) | ||
| + | - Length function and characteristic sequences of quadratic algebras (with D.K. Kudryavtsev) | ||
| + | - Integrability of diagonalizable matrices and a dual Schoenberg type inequality (with S. Danielyan, | ||
| + | - Converting immanants on skew-symmetric matrices (with M.A. Duffner, | ||
| + | - Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces (with L. Arambašić, | ||
| + | - Operators preserving mutual strong Birkhoff-James orthogonality on B(H) (with L. Arambašić, | ||
| + | - Upper bounds on scrambling index for non-primitive digraphs (with A.M. Maksaev) | ||
| + | - Linear transformations of tropical matrices preserving the cyclicity index (with E. Kreines, | ||
| + | - 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 | ||
| + | - 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, | ||
| + | - 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/ | ||
| + | - Higher-distance commuting varieties (with M. Elyze, R. Morrison, K. \v{S}ivic) Linear and Multilinear Algebra, 2020, doi: 10.1080/ | ||
| + | | ||
| - Majorization for (0, | - Majorization for (0, | ||
| - Orthogonality for (0,-1) tropical normal matrices (with B. Bakhadly and M. J. de la Puente) | - 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, | - 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 | - 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, | + | - 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 | - 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, | - Graph characterization of fully indecomposable nonconvertible (0, | ||
| Строка 17: | Строка 39: | ||
| - Extremal generalized centralizers in matrix algebras (with G. Dolinar, B. Kuzma, O. Markova) Communications in Algebra, 46(7), 2018, 3147-3154 | - 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) | - 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) | + | - 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, | - 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 | - 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 | ||
| Строка 30: | Строка 52: | ||
| - 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 | - 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, | - 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, | + | - 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 | - 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 (+/ | - On the divisibility of permanents for (+/ | ||
| Строка 37: | Строка 59: | ||
| - Graphs Defined by Orthogonality (with B.R. Bakhadly, O.V. Markova) Journal of Mathematical Sciences (New York), 207(5), 2015, 698-717 | - 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 | - 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. Purifica¸c˜ao, A. Duffner) Special Matrices, 2(1), 2014, 1-10. | + | - Immanant conversion on symmetric matrices (with C. Purificacao, A. Duffner) Special Matrices, 2(1), 2014, 1-10. |
| - On the Polya conversion problem for permanents and determinants, | - On the Polya conversion problem for permanents and determinants, | ||
| - Monotone maps on diagonalizable matrices (with M.A. Efimov), Mathematical Inequalities and Applications, | - Monotone maps on diagonalizable matrices (with M.A. Efimov), Mathematical Inequalities and Applications, | ||
| Строка 112: | Строка 134: | ||
| - Linear transformations preserving Adjamagbo determinant, | - Linear transformations preserving Adjamagbo determinant, | ||
| - Frobenius type results for matrices over the skew-fields (with E. M. Kreines, A. V. Mikhalev), Mathematical Methods and Applications, | - Frobenius type results for matrices over the skew-fields (with E. M. Kreines, A. V. Mikhalev), Mathematical Methods and Applications, | ||
| - | - Frobenius type theorems (with A. V. Mikhalev), Proceedings of Workshop on General Algebra and Discrete Mathematics, | + | - Frobenius type theorems (with A. V. Mikhalev), Proceedings of Workshop on General Algebra and Discrete Mathematics, |