On sum of a nilpotent and an ideally finitealgebras

dc.contributor.author	Bilun, S.V.
dc.date.accessioned	2019-06-10T14:54:53Z
dc.date.available	2019-06-10T14:54:53Z
dc.date.issued	2007
dc.identifier.citation	On sum of a nilpotent and an ideally finitealgebras / S.V. Bilun // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 38–45. — Бібліогр.: 7 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:16N40.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152370
dc.description.abstract	We study associative algebras R over arbitrary fields which can be decomposed into a sum R=A+B of their subalgebras A and B such that A²=0 and B is ideally finite (is a sum of its finite dimensional ideals). We prove that R has a locally nilpotent ideal I such that R/I is an extension of ideally finite algebra by a nilpotent algebra. Some properties of ideally finite algebras are also established.	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 sum of a nilpotent and an ideally finitealgebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA