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Artem Lopatin
Artem Lopatin
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Title
Cited by
Cited by
Year
Relatively Free Algebras with the Identity x^3=0
AA Lopatin
Communications in Algebra® 33 (10), 3583-3605, 2005
362005
Invariants of quivers under the action of classical groups
AA Lopatin
Journal of Algebra 321 (4), 1079-1106, 2009
322009
The algebra of invariants of 3× 3 matrices over a field of arbitrary characteristic
AA Lopatin
Communications in Algebra 32 (7), 2863-2883, 2004
262004
On the nilpotency degree of the algebra with identity x^n=0
AA Lopatin
Journal of Algebra 371, 350-366, 2012
212012
Conservative algebras of 2-dimensional algebras
I Kaygorodov, A Lopatin, Y Popov
Linear Algebra and its Applications 486, 255-274, 2015
192015
Separating invariants for 2× 2 matrices
I Kaygorodov, A Lopatin, Y Popov
Linear Algebra and its Applications 559, 114-124, 2018
182018
Relations Between O(n)-Invariants of Several Matrices
AA Lopatin
Algebras and representation theory 15, 855-882, 2012
18*2012
Semi-invariants of mixed representations of quivers
AA Lopatin, AN Zubkov
Transformation Groups 12, 341-369, 2007
152007
Separating invariants over finite fields
G Kemper, A Lopatin, F Reimers
Journal of Pure and Applied Algebra 226, 106904, 2022
142022
On minimal generating systems for matrix O (3)-invariants
AA Lopatin
Linear and Multilinear Algebra 59 (1), 87-99, 2011
14*2011
Free relations for matrix invariants in the modular case
AA Lopatin
Journal of Pure and Applied Algebra 216 (2), 427-437, 2012
132012
Separating invariants of three nilpotent 3× 3 matrices
FB Cavalcante, A Lopatin
Linear Algebra and its Applications 607, 9-28, 2020
122020
Orthogonal invariants of skew-symmetric matrices
AA Lopatin
Linear and Multilinear Algebra 59 (8), 851-862, 2011
122011
Separating invariants for multisymmetric polynomials
A Lopatin, F Reimers
Proceedings of the American Mathematical Society 149 (2), 497-508, 2021
102021
On block partial linearizations of the pfaffian
AA Lopatin
Linear algebra and its applications 426 (1), 109-129, 2007
102007
Jordan algebras admitting derivations with invertible values
I Kaygorodov, A Lopatin, Y Popov
Communications in Algebra 46 (1), 69-81, 2018
72018
Associative nil-algebras over finite fields
AA Lopatin, IP Shestakov
International Journal of Algebra and Computation 23 (08), 1881-1894, 2013
72013
Minimal generating and separating sets for O (3)-invariants of several matrices
RJS Ferreira, A Lopatin
Operators and Matrices 17 (3), 639-651, 2023
6*2023
Indecomposable orthogonal invariants of several matrices over a field of positive characteristic
A Lopatin
International Journal of Algebra and Computation 31 (1), 161-171, 2021
62021
Minimal system of generators for O(4)-invariants of two skew-symmetric matrices
A Lopatin
Linear and Multilinear Algebra 66 (2), 347-356, 2018
62018
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Articles 1–20