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Eurasian Mathematical Journal, 2019, Volume 10, Number 3, Pages 40–47
DOI: https://doi.org/10.32523/2077-9879-2019-10-3-40-47 (Mi emj337) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the structure of free dual Leibniz algebras

A. Naurazbekova

Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpaev St, 010008 Nur-Sultan, Kazakhstan
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DOI: https://doi.org/10.32523/2077-9879-2019-10-3-40-47
Abstract: It is proved that over a field of characteristic zero the free dual Leibniz algebras are the free associative-commutative algebras (without unity) with respect to the multiplication $a\circ b = ab+ba$ and their free generators are found. We construct the examples of subalgebras of two-generated free dual Leibniz algebra, that are free dual Leibniz algebras of countable rank.
Keywords and phrases: free dual Leibniz algebra, left-normed word, Lyndon–Shirshov word.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05133009
This work was supported by the grant of the Ministry of Education and Science of the Republic of Kazakhstan (project AP05133009).
Received: 23.04.2018
Bibliographic databases:
Document Type: Article
MSC: 17A50, 17D99, 17A32
Language: English
Citation: A. Naurazbekova, “On the structure of free dual Leibniz algebras”, Eurasian Math. J., 10:3 (2019), 40–47
Citation in format AMSBIB
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