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Universal equivalence of some countably generated partially commutative structures

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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.

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Authors and Affiliations

  1. Novosibirsk State Technical University, Novosibirsk, Russia

    E. N. Poroshenko

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  1. E. N. Poroshenko
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Correspondence to E. N. Poroshenko.

Additional information

The author was supported by the Russian Foundation for Basic Research (Grant 15–01–01485) and the Ministry of Education and Science of the Russian Federation (State Contract No. 214/138, Project 1052).

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 2, pp. 386–398, March–April, 2017; DOI: 10.17377/smzh.2017.58.212.

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Poroshenko, E.N. Universal equivalence of some countably generated partially commutative structures. Sib Math J 58, 296–304 (2017). https://doi.org/10.1134/S0037446617020124

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  • DOI: https://doi.org/10.1134/S0037446617020124

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