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This article is cited in 4 scientific papers (total in 4 papers)
Universal equivalence of partially commutative nilpotent groups
A. A. Mishchenkoa, E. I. Timoshenkob
a Omsk Branch of the Sobolev Institute of Mathematics, Omsk, Russia
b Novosibirsk State Technical University, Novosibirsk, Russia
Abstract:
We prove some necessary and sufficient conditions of the universal equivalence of the nilpotent $R$-groups of class 2 defined by trees, with $R$ a binomial Euclidean ring.
Keywords:
universal equivalence, partially commutative group, binomial ring, Euclidean ring.
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English version:
Siberian Mathematical Journal, 2011, 52:5, 884–891
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UDC:
512.5
Received: 12.07.2010
Citation:
A. A. Mishchenko, E. I. Timoshenko, “Universal equivalence of partially commutative nilpotent groups”, Sibirsk. Mat. Zh., 52:5 (2011), 1113–1122; Siberian Math. J., 52:5 (2011), 884–891
Citation in format AMSBIB
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\pages 1113--1122
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http://mi.mathnet.ru/eng/smj2262 http://mi.mathnet.ru/eng/smj/v52/i5/p1113
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This publication is cited in the following articles:
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Ch. K. Gupta, E. I. Timoshenko, “Properties and universal theories for partially commutative nilpotent metabelian groups”, Algebra and Logic, 51:4 (2012), 285–305
  -
E. I. Bunina, G. A. Kaleeva, “Universal equivalence of general and special linear groups over fields”, J. Math. Sci., 237:3 (2019), 387–409
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E. I. Timoshenko, “Centralizer dimensions and universal theories for partially commutative metabelian groups”, Algebra and Logic, 56:2 (2017), 149–170
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E. N. Poroshenko, “Universal equivalence of some countably generated partially commutative structures”, Siberian Math. J., 58:2 (2017), 296–304
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