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Matematicheskie Zametki, 2021, Volume 110, Issue 3, Pages 336–344
DOI: https://doi.org/10.4213/mzm13051 (Mi mzm13051) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Binary Leibniz Algebras

N. A. Ismailovab, A. S. Dzhumadil'daevc

a Astana IT University
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
c Kazakh-British Technical University
Full-text PDF (439 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm13051
Abstract: An algebra is called a binary Leibniz algebra if each of its two-generated subalgebras is a Leibniz algebra. In the present paper, we give a description of binary Leibniz algebras in terms of identities. As a consequence, we show that the variety of binary Leibniz algebras is not Schreier and that the freedom theorem fails to hold for this variety.
Keywords: Leibniz algebra, binary Lie algebra, polynomial identity.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08052405
The work was financially supported by a grant of the Ministry of Education and Science of the Republic of Kazakhstan (grant no. AP08052405).
Received: 11.02.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 3, Pages 322–328
DOI: https://doi.org/10.1134/S0001434621090029
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: N. A. Ismailov, A. S. Dzhumadil'daev, “Binary Leibniz Algebras”, Mat. Zametki, 110:3 (2021), 336–344; Math. Notes, 110:3 (2021), 322–328
Citation in format AMSBIB
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\paper Binary Leibniz Algebras
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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