On the structure of Leibniz algebras whose subalgebras are ideals or core-free

dc.contributor.author	Chupordia, V.A.
dc.contributor.author	Kurdachenko, L.A.
dc.contributor.author	Semko, N.N.
dc.date.accessioned	2023-03-03T19:36:31Z
dc.date.available	2023-03-03T19:36:31Z
dc.date.issued	2020
dc.identifier.citation	On the structure of Leibniz algebras whose subalgebras are ideals or core-free / V.A. Chupordia, L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 180–194. — Бібліогр.: 12 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1533
dc.identifier.other	2010 MSC: 17A32, 17A60, 17A99
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188514
dc.description.abstract	An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are generalizations of Lie algebras. A subalgebra S of a Leibniz algebra L is called a core-free, if S does not include a non-zero ideal. We study the Leibniz algebras, whose subalgebras are either ideals or core-free.	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	On the structure of Leibniz algebras whose subalgebras are ideals or core-free	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA