Universal Equivalence of Partially Commutative Lie Algebras


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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.

About the authors

E. N. Poroshenko

Novosibirsk State Technical University

Author for correspondence.
Email: auto_stoper@ngs.ru
Russian Federation, pr. Marksa 20, Novosibirsk, 630092

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