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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
Relations Between O(n)-Invariants of Several Matrices
AA Lopatin
Algebras and representation theory 15, 855-882, 2012
18*2012
Separating invariants for 2× 2 matrices
I Kaygorodov, A Lopatin, Y Popov
Linear Algebra and its Applications 559, 114-124, 2018
172018
Semi-invariants of mixed representations of quivers
AA Lopatin, AN Zubkov
Transformation Groups 12, 341-369, 2007
152007
On minimal generating systems for matrix O (3)-invariants
AA Lopatin
Linear and Multilinear Algebra 59 (1), 87-99, 2011
14*2011
Separating invariants over finite fields
G Kemper, A Lopatin, F Reimers
Journal of Pure and Applied Algebra 226, 106904, 2022
132022
Free relations for matrix invariants in the modular case
AA Lopatin
Journal of Pure and Applied Algebra 216 (2), 427-437, 2012
132012
Orthogonal invariants of skew-symmetric matrices
AA Lopatin
Linear and Multilinear Algebra 59 (8), 851-862, 2011
122011
Separating invariants of three nilpotent 3× 3 matrices
FB Cavalcante, A Lopatin
Linear Algebra and its Applications 607, 9-28, 2020
112020
On block partial linearizations of the pfaffian
AA Lopatin
Linear algebra and its applications 426 (1), 109-129, 2007
102007
Separating invariants for multisymmetric polynomials
A Lopatin, F Reimers
Proceedings of the American Mathematical Society 149 (2), 497-508, 2021
92021
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
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
Minimal generating set for semi-invariants of quivers of dimension two
AA Lopatin
Linear algebra and its applications 434 (8), 1920-1944, 2011
62011
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