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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 5, Pages 1113–1122
(Mi smj2262)
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This article is cited in 8 scientific papers (total in 8 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.
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
Linking options:
https://www.mathnet.ru/eng/smj2262 https://www.mathnet.ru/eng/smj/v52/i5/p1113
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