Leibniz algebras with absolute maximal Lie subalgebras

A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their Lie-center are greater...

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Bibliographic Details
Date:2020
Main Authors: Biyogmam, G.R., Tcheka, C.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2020
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188501
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Leibniz algebras with absolute maximal Lie subalgebras / G.R. Biyogmam, C. Tcheka // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 52–65. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine