This article is cited in 2 papers

Universal equivalence of partially commutative Lie algebras

E. N. Poroshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092 Russia

Abstract: We study universal theories of partially commutative Lie algebras whose defining graphs are cycles and trees. Within each of the two above-mentioned classes of partially commutative Lie algebras, necessary and sufficient conditions for the coincidence of universal theories are specified.

Keywords: partially commutative Lie algebra, defining graph, universal theory.

UDC: 512.554.3+510.67

Received: 30.09.2015

DOI: 10.17377/alglog.2017.56.205

 English version: Algebra and Logic, 2017, 56:2, 133–148

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