(with Iritan Ferreira dos Santos, Alexey M. Kuz'min) Novikov algebras in low dimension: identities, images and codimensions, Journal of Algebra, 674 (2025), 1-28.
(with Alexander N. Rybalov), On generic complexity of equation solving over the bicyclic monoid, Prikladnaya Diskretnaya Matematika, 67 (2025), 110–117.
(with Alexander N. Rybalov), On polynomial equations over split octonions, Communications in Mathematics, 33 (2025), no. 3, Paper no. 8.
(with Alexandr Zubkov), Classification of G_2-orbits for pairs of octonions, Journal of Pure and Applied Algebra, 229 (2025), 107875.
(with Pedro Antonio Muniz Martins, Lael Viana Lima), Separating symmetric polynomials over finite fields, Communications in Mathematics, 33 (2025), no. 1, Paper no. 5.
(with Carlos Arturo Rodriguez Palma and Liming Tang), Weak polynomial identities of small degree for the Weyl algebra, Communications in Mathematics, 33 (2025), no. 1, Paper no. 1.
2024
On m-tuples of nilpotent 2x2 matrices over an arbitrary field, International Journal of Algebra and Computation, 34 (2024), no. 8, 1253-1272.
(with Alexandr Zubkov), Separating G_2-invariants of several octonions, Algebra and Number Theory, 18 (2024), no. 12, 2157-2177.
(with Pedro Antonio Muniz Martins), Separating invariants for two-dimensional orthogonal groups over finite fields, Linear Algebra and its Applications, 692 (2024), 71-83.
(with Carlos Arturo Rodriguez Palma), Identities for subspaces of the Weyl algebra, Communications in Mathematics, 32 (2024), no. 2, 111-125.
(with Ronaldo José Sousa Ferreira) Minimal generating and separating sets for O(3)-invariants of several matrices, Operators and Matrices, 17 (2023), no. 3, 639-651.
(with Carlos Arturo Rodriguez Palma) Identities for subspaces of a parametric Weyl algebra, Linear Algebra and its Applications, 654 (2022), 250-266.
(with Carlos Arturo Rodriguez Palma) Identities for a parametric Weyl algebra over a ring, Journal of Algebra, 595 (2022), 279-296.
(with Gregor Kemper, Fabian Reimers) Separating invariants over finite fields, Journal of Pure and Applied Algebra, 226 (2022), 106904.
2021
(with Fabian Reimers) Separating invariants for multisymmetric polynomials, Proceedings of Amer. Math. Soc., 149 (2021), 497-508.
Indecomposable orthogonal invariants of several matrices over a field of positive characteristic, International Journal of Algebra and Computation, 31 (2021), no. 1, 161-171.
2020
(with Felipe Barbosa Cavalcante) Separating invariants of three nilpotent 3x3 matrices, Linear Algebra and its Applications, 607 (2020), 9-28.
2018
(with Ivan Kaygorodov, Yury Popov) Separating invariants for 2x2 matrices, Linear Algebra and its Applications, 559 (2018), 114-124.
(with Ivan Kaygorodov, Yury Popov) The structure of simple noncommutative Jordan superalgebras, Mediterranean Journal of Mathematics, 15 (2018), no. 2, Art. 33.
(with Ivan Kaygorodov, Yury Popov) Jordan algebras admitting derivations with invertible values, Communications in Algebra, 46 (2018), no. 1, 69-81.
Minimal system of generators for O(4)-invariants of two skew-symmetric matrices, Linear and Multilinear Algebra, 66 (2018), no. 2, 347-356.
2016
(with Aleksandr Tsarev, Tongsou Wu) On the lattices of multiply composition formations of finite groups, Bulletin of Int. Math. Virtual Inst., 6 (2016), no. 2, 219-226.
2015
(with Ivan Kaygorodov, Yury Popov) Identities of sum of two PI-algebras in the case of positive characteristic, International Journal of Algebra and Computation, 25 (2015), no. 8, 1265--1273.
(with Ivan Kaygorodov, Yury Popov) Conservative algebras of 2-dimensional algebras, Linear Algebra and its Applications, 486 (2015), 255-274.
Orthogonal matrix invariants, J. Generalized Lie Theory Appl., 9 (2015), no. S1, Art. ID 007.
2013
(with Ivan P. Shestakov) Associative nil-algebras over finite fields, International Journal of Algebra and Computation, 23 (2013), no. 8, 1881-1894.
Matrix identities with forms, Journal of Pure and Applied Algebra, 217 (2013), no. 11, 2056-2075.
2012
On the nilpotency degree of the algebra with identity x^n=0, Journal of Algebra, 371 (2012), 350-366.
Relations between O(n)-invariants of several matrices, Algebras and Representation Theory, 15 (2012), 855-882.
Free relations for matrix invariants in the modular case, Journal of Pure and Applied Algebra, 216 (2012), 427-437.
2011
Orthogonal invariants of skew-symmetric matrices, Linear and Multilinear Algebra, 59 (2011), no. 8, 851-862.
Minimal generating set for semi-invariants of quivers of dimension two, Linear Algebra and its Applications, 434 (2011), no. 8, 1920-1944.
On minimal generating systems for matrix O(3)-invariants, Linear and Multilinear Algebra, 9 (2011), no. 1, 87-99.
2010
Indecomposable invariants of quivers for dimension (2,...,2) and maximal paths, II, Sib. Elektron. Mat. Izv., 7 (2010), 350-371.
Indecomposable invariants of quivers for dimension (2,...2) and maximal paths, Communications in Algebra, 38 (2010), no. 10, 3539-3555.
2009
Invariants of quivers under the action of classical groups, Journal of Algebra, 321 (2009), 1079-1106.
2007
On block partial linearizations of the pfaffian, Linear Algebra and its Applications, 426/1 (2007), 109-129.
(with Alexandr Zubkov) Semi-invariants of mixed representations of quivers, Transformation Groups, 12 (2007), no. 2, 341-369.
2005
Relatively free algebras with the identity x^3=0, Communications in Algebra, 33 (2005), no. 10, 3583-3605.
2004
The ring of invariants of three (3x3)-matrices over a field of prime characteristic, Siberian Mathematical Journal, 45 (2004), no. 3, 513-521.
The algebra of invariants of 3x3 matrices over a field of arbitrary characteristic, Communications in Algebra, 32 (2004), no. 7, 2863-2883.