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Author ID: lopatin.artem-a Recent zbMATH articles by "Lopatin, Artem A."
Published as: Lopatin, A. A.; Lopatin, Artem; Lopatin, Artem A.
External Links: MGP
Documents Indexed: 44 Publications since 2002, including 12 Additional arXiv Preprints
Reviewing Activity: 26 Reviews
Co-Authors: 13 Co-Authors with 21 Joint Publications
353 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 138 times in 60 Documents Cited by Year
Relatively free algebras with the identity \(x^3=0\). Zbl 1085.16016
Lopatin, A. A.
18
2005
Invariants of quivers under the action of classical groups. Zbl 1166.13010
Lopatin, A. A.
14
2009
The algebra of invariants of \(3\times 3\) matrices over a field of arbitrary characteristic. Zbl 1076.16020
Lopatin, A. A.
12
2004
Conservative algebras of 2-dimensional algebras. Zbl 1321.17002
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
10
2015
Semi-invariants of mixed representations of quivers. Zbl 1159.16012
Lopatin, A. A.; Zubkov, A. N.
10
2007
Separating invariants for \(2 \times 2\) matrices. Zbl 1397.16019
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
7
2018
On the nilpotency degree of the algebra with identity \(x^n=0\). Zbl 1276.16013
Lopatin, Artem A.
7
2012
On minimal generating systems for matrix \(O(3)\)-invariants. Zbl 1227.16018
Lopatin, A. A.
7
2011
Relations between \(O(n)\)-invariants of several matrices. Zbl 1272.16024
Lopatin, A. A.
7
2012
Free relations for matrix invariants in the modular case. Zbl 1235.13004
Lopatin, A. A.
5
2012
On block partial linearizations of the Pfaffian. Zbl 1133.15009
Lopatin, A. A.
5
2007
Orthogonal invariants of skew-symmetric matrices. Zbl 1230.16020
Lopatin, A. A.
4
2011
Associative nil-algebras over finite fields. Zbl 1298.16011
Lopatin, Artem A.; Shestakov, Ivan P.
3
2013
Separating invariants over finite fields. Zbl 1478.13009
Kemper, Gregor; Lopatin, Artem; Reimers, Fabian
3
2022
Minimal generating set for semi-invariants of quivers of dimension two. Zbl 1213.13016
Lopatin, A. A.
3
2011
The structure of simple noncommutative Jordan superalgebras. Zbl 1434.17036
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
2
2018
The ring of invariants of three \((3\times 3)\)-matrices over a field of prime characteristic. Zbl 1065.16020
Lopatin, A. A.
2
2004
Matrix identities with forms. Zbl 1294.16016
Lopatin, Artem A.
2
2013
Minimal system of generators for \(O(4)\)-invariants of two skew-symmetric matrices. Zbl 1414.16023
Lopatin, Artem
2
2018
Jordan algebras admitting derivations with invertible values. Zbl 1429.17030
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
2
2018
Indecomposable orthogonal invariants of several matrices over a field of positive characteristic. Zbl 1466.16023
Lopatin, Artem
2
2021
Separating invariants for multisymmetric polynomials. Zbl 1454.13010
Lopatin, Artem; Reimers, Fabian
2
2021
Separating invariants of three nilpotent \(3\times 3\) matrices. Zbl 1462.16021
Cavalcante, Felipe Barbosa; Lopatin, Artem
2
2020
Representation of quivers, their generalizations and invariants. Zbl 1207.13004
Lopatin, A. A.; Zubkov, A. N.
2
2008
Indecomposable invariants of quivers for dimension \((2,\ldots ,2)\) and maximal paths. Zbl 1204.13007
Lopatin, A. A.
2
2010
Indecomposable invariants of quivers for dimension \((2,\ldots,2)\) and maximal paths. II. Zbl 1329.16013
Lopatin, A. A.
1
2010
Identities of sum of two PI-algebras in the case of positive characteristic. Zbl 1346.16015
Kaygorodov, Ivan; Lopatin, Artem A.; Popov, Yury
1
2015
Identities for a parametric Weyl algebra over a ring. Zbl 1514.16021
Lopatin, Artem; Rodriguez Palma, Carlos Arturo
1
2022
Separating invariants over finite fields. Zbl 1478.13009
Kemper, Gregor; Lopatin, Artem; Reimers, Fabian
3
2022
Identities for a parametric Weyl algebra over a ring. Zbl 1514.16021
Lopatin, Artem; Rodriguez Palma, Carlos Arturo
1
2022
Indecomposable orthogonal invariants of several matrices over a field of positive characteristic. Zbl 1466.16023
Lopatin, Artem
2
2021
Separating invariants for multisymmetric polynomials. Zbl 1454.13010
Lopatin, Artem; Reimers, Fabian
2
2021
Separating invariants of three nilpotent \(3\times 3\) matrices. Zbl 1462.16021
Cavalcante, Felipe Barbosa; Lopatin, Artem
2
2020
Separating invariants for \(2 \times 2\) matrices. Zbl 1397.16019
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
7
2018
The structure of simple noncommutative Jordan superalgebras. Zbl 1434.17036
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
2
2018
Minimal system of generators for \(O(4)\)-invariants of two skew-symmetric matrices. Zbl 1414.16023
Lopatin, Artem
2
2018
Jordan algebras admitting derivations with invertible values. Zbl 1429.17030
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
2
2018
Conservative algebras of 2-dimensional algebras. Zbl 1321.17002
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury
10
2015
Identities of sum of two PI-algebras in the case of positive characteristic. Zbl 1346.16015
Kaygorodov, Ivan; Lopatin, Artem A.; Popov, Yury
1
2015
Associative nil-algebras over finite fields. Zbl 1298.16011
Lopatin, Artem A.; Shestakov, Ivan P.
3
2013
Matrix identities with forms. Zbl 1294.16016
Lopatin, Artem A.
2
2013
On the nilpotency degree of the algebra with identity \(x^n=0\). Zbl 1276.16013
Lopatin, Artem A.
7
2012
Relations between \(O(n)\)-invariants of several matrices. Zbl 1272.16024
Lopatin, A. A.
7
2012
Free relations for matrix invariants in the modular case. Zbl 1235.13004
Lopatin, A. A.
5
2012
On minimal generating systems for matrix \(O(3)\)-invariants. Zbl 1227.16018
Lopatin, A. A.
7
2011
Orthogonal invariants of skew-symmetric matrices. Zbl 1230.16020
Lopatin, A. A.
4
2011
Minimal generating set for semi-invariants of quivers of dimension two. Zbl 1213.13016
Lopatin, A. A.
3
2011
Indecomposable invariants of quivers for dimension \((2,\ldots ,2)\) and maximal paths. Zbl 1204.13007
Lopatin, A. A.
2
2010
Indecomposable invariants of quivers for dimension \((2,\ldots,2)\) and maximal paths. II. Zbl 1329.16013
Lopatin, A. A.
1
2010
Invariants of quivers under the action of classical groups. Zbl 1166.13010
Lopatin, A. A.
14
2009
Representation of quivers, their generalizations and invariants. Zbl 1207.13004
Lopatin, A. A.; Zubkov, A. N.
2
2008
Semi-invariants of mixed representations of quivers. Zbl 1159.16012
Lopatin, A. A.; Zubkov, A. N.
10
2007
On block partial linearizations of the Pfaffian. Zbl 1133.15009
Lopatin, A. A.
5
2007
Relatively free algebras with the identity \(x^3=0\). Zbl 1085.16016
Lopatin, A. A.
18
2005
The algebra of invariants of \(3\times 3\) matrices over a field of arbitrary characteristic. Zbl 1076.16020
Lopatin, A. A.
12
2004
The ring of invariants of three \((3\times 3)\)-matrices over a field of prime characteristic. Zbl 1065.16020
Lopatin, A. A.
2
2004

Citations by Year