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| The most recent list of publications is available at [[http:// | The most recent list of publications is available at [[http:// | ||
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| - | - Pairs of maps preserving singularity on subsets of matrix algebras (with A.M. Maksaev, V.V. Promyslov) | + | - Pairs of maps preserving singularity on subsets of matrix algebras (with A.M. Maksaev, V.V. Promyslov) |
| - | - 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 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 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) | + | - On the lengths of standard composition algebras (with S.A. Zhilina) |
| - | - Linear functions preserving Green' | + | - Linear functions preserving Green' |
| - | - Transformations of assembly number for 4-regular graphs (with E.M. Kreines, N.V. Ostroukhova) | + | - 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) | + | - Linear converters of weak, directional and strong majorizations (with P. Shteyner) |
| - | - Length function and characteristic sequences of quadratic algebras (with D.K. Kudryavtsev) | + | - 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, | + | - Integrability of diagonalizable matrices and a dual Schoenberg type inequality (with S. Danielyan, |
| - | - Converting immanants on skew-symmetric matrices (with M.A. Duffner, | + | - Converting immanants on skew-symmetric matrices (with M.A. Duffner, |
| - | - Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces (with L. Aramba\v{s}i\'c, B. Kuzma, R. Raji\'c, S. Zhilina) | + | - Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces (with L. Arambašić, B. Kuzma, R. Rajić, S. Zhilina) Journal of Mathematical Analysis and Applications, |
| - | - Operators preserving mutual strong Birkhoff-James orthogonality on B(H) (with L. Aramba\v{s}i\'c, B. Kuzma, R. Raji\'c, S. Zhilina) | + | - Operators preserving mutual strong Birkhoff-James orthogonality on B(H) (with L. Arambašić, B. Kuzma, R. Rajić, S. Zhilin) Linear Algebra and its Applications, |
| - | - Upper bounds on scrambling index for non-primitive digraphs (with A.M. Maksaev) | + | - 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 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) | + | - 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) | + | - 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. Aramba\v{s}i\'c, B. Kuzma, R. Raji\'c, S. Zhilina) // Banach Journal of Mathematical Analysis, 2020, 14:4, 1751 – 1772 | + | - 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 |
| - | - The length of the group algebra of the group $Q_8$ (with O.V. Markova) | + | - 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) | + | - Higher-distance commuting varieties (with M. Elyze, R. Morrison, K. \v{S}ivic) Linear and Multilinear Algebra, 2020, doi: 10.1080/ |
| - | - Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev) | + | - Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev) |
| - 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) | ||
| Строка 52: | 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 134: | 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, |