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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 2, Pages 386–398
DOI: https://doi.org/10.17377/smzh.2017.58.212 (Mi smj2867) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Universal equivalence of some countably generated partially commutative structures

E. N. Poroshenko

Novosibirsk State Technical University, Novosibirsk, Russia
Full-text PDF (330 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2017.58.212
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.
Keywords: partially commutative Lie algebras, metabelian Lie algebras, partially commutative group, defining graph.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01485
Ministry of Education and Science of the Russian Federation 214/138, проект 1052
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).
Received: 25.03.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 2, Pages 296–304
DOI: https://doi.org/10.1134/S0037446617020124
Bibliographic databases:
Document Type: Article
UDC: 512.554.33+512.543.16
MSC: 35R30
Language: Russian
Citation: E. N. Poroshenko, “Universal equivalence of some countably generated partially commutative structures”, Sibirsk. Mat. Zh., 58:2 (2017), 386–398; Siberian Math. J., 58:2 (2017), 296–304
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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