This article is cited in 4 papers

Universal equivalence of some countably generated partially commutative structures

E. N. Poroshenko

Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We study universal theories of partially commutative Lie algebras, partially commutative metabelian Lie algebras, and partially commutative metabelian groups such that their defining graphs are trees with countably many vertices. Also we find universal equivalence criteria for each of these classes of Lie algebras and groups.

Keywords: partially commutative Lie algebras, metabelian Lie algebras, partially commutative group, defining graph.

UDC: 512.554.33+512.543.16

MSC: 35R30

Received: 25.03.2016

DOI: 10.17377/smzh.2017.58.212

 English version: Siberian Mathematical Journal, 2017, 58:2, 296–304

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