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Список публикаций:
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Цитирования (Crossref Cited-By Service + Math-Net.Ru) |
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Статьи
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| 1. |
Ivan Kaygorodov, Artem Lopatin and Yury Popov, “Jordan algebras admitting derivations with invertible values”, Communications in Algebra, 46:1 (2018), 69–81      
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1
[x]
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| 2. |
Artem Lopatin, “Minimal system of generators for O(4)-invariants of two skew-symmetric matrices”, Linear and Multilinear Algebra, 66:2 (2018), 347–356 http://www.tandfonline.com/doi/full/10.1080/03081087.2017.1298563
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1
[x]
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| 3. |
Ivan Kaygorodov, Artem Lopatin, Yury Popov, “The structure of simple noncommutative Jordan superalgebras”, Mediterranean Journal of Mathematics, 15:2 (2018), Art. 33 , 20 pp. https://link.springer.com/article/10.1007/s00009-018-1084-1
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2
[x]
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| 4. |
Ivan Kaygorodov, Artem Lopatin, Yury Popov, “Separating invariants for 2x2 matrices”, Linear Algebra and its Applications, 559 (2018), 114–124 https://www.sciencedirect.com/science/article/pii/S0024379518303835
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7
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| 5. |
Artem Lopatin, Aleksandr Tsarev, Tongsou Wu, “On the lattices of multiply composition formations of finite groups”, Bulletin of the international mathematical virtual institute, 6:2 (2016), 219-226 http://www.imvibl.org/buletin/bulletin_imvi_6_2_2016/bulletin_imvi_6_2_2015_219_226.pdf |
| 6. |
A. A. Lopatin, “Orthogonal matrix invariants”, J. Generalized Lie Theory Appl, 9:S1 (2015), 007 , 3 pp. http://www.omicsonline.com/open-access/orthogonal-matrix-invariants-1736-4337-S1-007.php?aid=60212 |
| 7. |
I.B. Kaygorodov, A.A. Lopatin, Yu.S. Popov, “Conservative algebras of 2-dimensional algebras”, Linear Algebra and its Applications, 486 (2015), 255-274 http://www.sciencedirect.com/science/article/pii/S0024379515004760
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9
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| 8. |
I.B. Kaygorodov, A.A. Lopatin, Yu.S. Popov, “Identities of sum of two PI-algebras in the case of positive characteristic”, International Journal of Algebra and Computation, 25:8 (2015), 1265-1273 http://www.worldscientific.com/doi/abs/10.1142/S021819671550040X
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| 9. |
A.A. Lopatin, “Matrix identities with forms”, Journal of Pure and Applied Algebra, 217:11 (2013), 2056–2075
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2
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| 10. |
А.А. Лопатин, “Тождества матричных инвариантов симплектической группы”, Вестник Омского университета, 18:2 (2013), 29–31 |
| 11. |
A.A. Lopatin, I.P. Shestakov, “Associative nil-algebras over finite fields”, International J. of Algebra and Computation, 23:8 (2013), 1881–1894 http://www.worldscientific.com/doi/abs/10.1142/S0218196713500471
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2
[x]
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| 12. |
A.A. Lopatin, “Free relations for matrix invariants in modular case”, J. Pure Appl. Algebra, 216 (2012), 427–437
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4
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| 13. |
A.A. Lopatin, “Relations between O(n)-invariants of several matrices”, Algebras and Representation Theory, 15 (2012), 855-882
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4
[x]
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| 14. |
A.A. Lopatin, “On the nilpotency degree of the algebra with identity $x^n=0$”, J. Algebra, 371 (2012), 350-366
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5
[x]
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| 15. |
A.A. Lopatin, “Orthogonal invariants of skew-symmetric matrices”, Linear and Multilinear Algebra, 59:8 (2011), 851–862
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3
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| 16. |
A.A. Lopatin, “Minimal generating set for semi-invariants of quivers of dimension two”, Linear Algebra Appl., 434:8 (2011), 1920–1944
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4
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| 17. |
A.A. Lopatin, “On minimal generating systems for matrix O(3)-invariants”, Linear Mult. Algebra, 59:1 (2011), 87–99
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6
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| 18. |
A.A. Lopatin, “Indecomposable invariants of quivers for dimension (2,...,2) and maximal paths”, Commun. Algebra, 38:10 (2010), 3539–3555
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2
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| 19. |
Artem Lopatin, “Indecomposable invariants of quivers for dimension $(2,\ldots,2)$ and maximal paths, II”, Sib. Èlektron. Mat. Izv. 7, 7 (2010), 350–371 http://semr.math.nsc.ru/v7/p350-371.pdf 
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2
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| 20. |
A.A. Lopatin, “Invariants of quivers under the action of classical groups”, J. Algebra, 321 (2009), 1079–1106
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12
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| 21. |
A.A. Lopatin, A.N. Zubkov, “Representations of quivers, their generalizations and invariants”, Вестник Омского университета, 2008, Спец. выпуск, 9–24 |
| 22. |
A.A. Lopatin, “On block partial linearizations of the pfaffian”, Linear Algebra Appl., 426/1 (2007), 109–129
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5
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| 23. |
A.A. Lopatin, A.N. Zubkov, “Semi-invariants of mixed representations of quivers”, Transform. Groups, 12:2 (2007), 341–369
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8
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| 24. |
A.A. Lopatin, “Relatively free algebras with the identity x^3=0”, Commun. Algebra, 33:10 (2005), 3583–3605
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18
[x]
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| 25. |
A.A. Lopatin, “The algebra of invariants of 3x3 matrices over a field of arbitrary characteristic”, Communications in Algebra, 32:7 (2004), 2863–2883
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11
[x]
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| 26. |
А. А. Лопатин, “Кольцо инвариантов трех матриц третьего порядка над полем простой характеристики”, Сиб. матем. журн., 45:3 (2004), 624–633 ; A. A. Lopatin, “The ring of invariants of three $(3\times3)$-matrices over a field of prime characteristic”, Siberian Math. J., 45:3 (2004), 513–521
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5
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| 27. |
А.А. Лопатин, “Некоммутативные инварианты над полем произвольной характеристики”, Вестник Омского университета, 23:1 (2002), 19–21 |
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