Edit Profile (opens in new tab) Lopatin, Artem A. Co-Author Distance Author ID: lopatin.artem-a Published as: Lopatin, A. A.; Lopatin, Artem; Lopatin, Artem A. more...less 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 all top 5 Co-Authors 23 single-authored 5 Kaygorodov, Ivan 5 Popov, Yury 4 Rodriguez Palma, Carlos Arturo 4 Zubkov, Alexandr N. 2 Martins, Pedro Antonio Muniz 2 Reimers, Fabian 1 Cavalcante, Felipe Barbosa 1 Kemper, Gregor 1 Lima, Lael Viana 1 Moreno, Jennyfer Juliana Calderón 1 Shestakov, Ivan Pavlovich 1 Sousa Ferreira, Ronaldo José 1 Tang, Liming all top 5 Serials 6 Linear Algebra and its Applications 4 Communications in Algebra 3 Linear and Multilinear Algebra 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 International Journal of Algebra and Computation 2 Vestnik Omskogo Universiteta 1 Proceedings of the American Mathematical Society 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transformation Groups 1 Algebras and Representation Theory 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Generalized Lie Theory and Applications 1 Operators and Matrices all top 5 Fields 30 Associative rings and algebras (16-XX) 29 Commutative algebra (13-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 Cited by 54 Authors 20 Lopatin, Artem A. 8 Kaygorodov, Ivan 5 Domokos, Mátyás 5 Popov, Yury 2 Aragona, Riccardo 2 Elmer, Jonathan 2 Kharitonov, M. I. 2 Khudoyberdiyev, Abror Kh. 2 Reimers, Fabian 2 Shestakov, Ivan Pavlovich 1 Ahmed, Houida 1 Arzikulov, Farhodjon Nematjonovich 1 Bekbaev, Ural Dj. 1 Bell, Jason P. 1 Bocklandt, Raf 1 Calderón Martín, Antonio Jesús 1 Cavalcante, Felipe Barbosa 1 de Araujo, Artur 1 Derksen, Harm 1 Devi, G. Lakshmi 1 Dotsenko, Vladimir Viktorovich 1 Drensky, Vesselin 1 Dzhumadil’daev, Askar Serkulovich 1 Eick, Bettina 1 Fedotov, S. N. 1 Fernández Ouaridi, Amir 1 Hoge, Torsten 1 Jayalakshmi, K. 1 Jumaniyozov, Doston 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Kemper, Gregor 1 Kępczyk, Marek 1 Khrypchenko, Mykola S. 1 Lawton, Sean 1 Makam, Visu 1 Miklósi, Botond 1 Murakami, Lucia S. I. 1 Pchelintsev, Sergeĭ Valentinovich 1 Peresi, Luiz Antonio 1 Pozhidaev, Aleksandr Petrovich 1 Rakhimov, Isamiddin Sattarovich 1 Rodriguez Palma, Carlos Arturo 1 Sam, Steven V. 1 Sattarov, Aloberdi 1 Sharifi, Yaghoub 1 Shestakov, Alekseĭ Ivanovich 1 Sikora, Adam S. 1 Sousa Ferreira, Ronaldo José 1 Umrzaqov, Nodirbek 1 Volkov, Yuriĭ S. 1 Xia, Xiaopeng 1 Xu, Jinxing 1 Zhelyabin, Viktor Nikolaevich 1 Zusmanovich, Pasha all top 5 Cited in 25 Serials 8 Journal of Pure and Applied Algebra 7 Journal of Algebra 6 Communications in Algebra 5 Linear and Multilinear Algebra 5 Linear Algebra and its Applications 4 International Journal of Algebra and Computation 3 Algebras and Representation Theory 3 Journal of Algebra and its Applications 2 Advances in Mathematics 2 Communications in Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Bulletin of the London Mathematical Society 1 Proceedings of the American Mathematical Society 1 International Journal of Mathematics 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Chebyshevskiĭ Sbornik 1 Algebra & Number Theory 1 Operators and Matrices 1 São Paulo Journal of Mathematical Sciences all top 5 Cited in 14 Fields 35 Associative rings and algebras (16-XX) 23 Commutative algebra (13-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Nonassociative rings and algebras (17-XX) 13 Algebraic geometry (14-XX) 7 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 1 Field theory and polynomials (12-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Citations by Year