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This article is cited in 4 scientific papers (total in 4 papers)
Elementary equivalence and direct product decompositions of partially commutative groups of varieties
N. S. Romanovskiia, E. I. Timoshenkoab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State Technical University
Abstract:
Considering the partially commutative groups of the varieties that include the variety of all length 2 nilpotent groups, we study the questions of factor cancellation in direct products, coincidence of elementary theories, characterization of the group by its elementary theory, and the possibility of direct product decomposition.
Keywords:
partially commutative group, nilpotent group, solvable group, elementary theory.
Received: 01.01.2020 Revised: 31.03.2020 Accepted: 08.04.2020
Citation:
N. S. Romanovskii, E. I. Timoshenko, “Elementary equivalence and direct product decompositions of partially commutative groups of varieties”, Sibirsk. Mat. Zh., 61:3 (2020), 681–686; Siberian Math. J., 61:3 (2020), 538–541
Linking options:
https://www.mathnet.ru/eng/smj6011 https://www.mathnet.ru/eng/smj/v61/i3/p681
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