Leibniz algebras with absolute maximal Lie subalgebras

dc.contributor.author	Biyogmam, G.R.
dc.contributor.author	Tcheka, C.
dc.date.accessioned	2023-03-03T15:49:10Z
dc.date.available	2023-03-03T15:49:10Z
dc.date.issued	2020
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1165
dc.identifier.other	2010 MSC: 17A32, 17B55, 18B99.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188501
dc.description.abstract	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 than two, we refer to these Leibniz algebras as s-Leibniz algebras (strong Leibniz algebras). We provide a classification of nilpotent Leibniz s-algebras of dimension up to five.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Leibniz algebras with absolute maximal Lie subalgebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA