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Algebra i logika, 2017, Volume 56, Number 2, Pages 202–225
DOI: https://doi.org/10.17377/alglog.2017.56.205 (Mi al788) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Universal equivalence of partially commutative Lie algebras

E. N. Poroshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092 Russia
Full-text PDF (237 kB) Citations (2)
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DOI: https://doi.org/10.17377/alglog.2017.56.205
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.
Keywords: partially commutative Lie algebra, defining graph, universal theory.
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
Supported by RFBR (project No. 15-01-01485) and by the Russian Ministry of Education and Science (gov. contract 2014/138, project No. 1052).
Received: 30.09.2015
English version:
Algebra and Logic, 2017, Volume 56, Issue 2, Pages 133–148
DOI: https://doi.org/10.1007/s10469-017-9435-8
Bibliographic databases:
Document Type: Article
UDC: 512.554.3+510.67
Language: Russian
Citation: E. N. Poroshenko, “Universal equivalence of partially commutative Lie algebras”, Algebra Logika, 56:2 (2017), 202–225; Algebra and Logic, 56:2 (2017), 133–148
Citation in format AMSBIB
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\by E.~N.~Poroshenko
\paper Universal equivalence of partially commutative Lie algebras
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\vol 56
\issue 2
\pages 202--225
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\jour Algebra and Logic
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\vol 56
\issue 2
\pages 133--148
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Linking options:
  • https://www.mathnet.ru/eng/al788
  • https://www.mathnet.ru/eng/al/v56/i2/p202
    • This publication is cited in the following 2 articles:
    1. E. N. Poroshenko, E. I. Timoshenko, “Partially commutative groups and Lie algebras”, Sib. elektron. matem. izv., 18:1 (2021), 668–693  mathnet  crossref
    2. E. N. Poroshenko, “Ob universalnoi ekvivalentnosti chastichno kommutativnykh algebr Li, opredelennykh grafami bez treugolnikov i kvadratov i bez izolirovannykh vershin”, Sib. elektron. matem. izv., 17 (2020), 933–953  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:1156
    Full-text PDF :48
    References:55
    First page:9
     
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