Universal Equivalence of Partially Commutative Lie Algebras
- Authors: Poroshenko E.N.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 56, No 2 (2017)
- Pages: 133-148
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234030
- DOI: https://doi.org/10.1007/s10469-017-9435-8
- ID: 234030
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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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