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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, | ||
Строка 14: | Строка 14: | ||
- 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. Arambašić, | + | - Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces (with L. Arambašić, |
- Operators preserving mutual strong Birkhoff-James orthogonality on B(H) (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) | - Upper bounds on scrambling index for non-primitive digraphs (with A.M. Maksaev) | ||
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- 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 | - 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 | - 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, | + | - 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/ | - 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/ | - 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, |