Email this article Universal equivalence of some countably generated partially commutative structures
- Authors: Poroshenko E.N.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 58, No 2 (2017)
- Pages: 296-304
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171102
- DOI: https://doi.org/10.1134/S0037446617020124
- ID: 171102
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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.
About the authors
E. N. Poroshenko
Novosibirsk State Technical University
Author for correspondence.
Email: auto_stoper@ngs.ru
Russian Federation, Novosibirsk
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