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Algebra i logika, 2013, Volume 52, Number 1, Pages 34–56 (Mi al570)  
This article is cited in 5 scientific papers (total in 5 papers)

Embedding Mal'tsev coalgebras into Lie coalgebras with triality

M. E. Goncharovab, V. N. Zhelyabinab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (238 kB) Citations (5)
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Abstract: It is proved that any Mal'tsev coalgebra embeds in a Lie coalgebra with triality. Thus Mikheev's known result for Mal'tsev algebras is fully extended to Mal'tsev coalgebras.
Keywords: Mal'tsev algebra, Mal'tsev coalgebra, Lie algebra, Lie coalgebra, weakly inner derivation, pseudoderivation.
Received: 28.09.2012
English version:
Algebra and Logic, 2013, Volume 52, Issue 1, Pages 24–40
DOI: https://doi.org/10.1007/s10469-013-9216-y
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: M. E. Goncharov, V. N. Zhelyabin, “Embedding Mal'tsev coalgebras into Lie coalgebras with triality”, Algebra Logika, 52:1 (2013), 34–56; Algebra and Logic, 52:1 (2013), 24–40
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    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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    References:66
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