A decomposition theorem for semiprime rings

dc.contributor.author	Khibina, M.
dc.date.accessioned	2019-06-18T17:33:21Z
dc.date.available	2019-06-18T17:33:21Z
dc.date.issued	2005
dc.identifier.citation	A decomposition theorem for semiprime rings / M. Khibina // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 62–68. — Бібліогр.: 4 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 16P40, 16G10.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156595
dc.description.abstract	A ring A is called an F DI-ring if there exists a decomposition of the identity of A in a sum of finite number of pairwise orthogonal primitive idempotents. We call a primitive idempotent e artinian if the ring eAe is Artinian. We prove that every semiprime F DI-ring is a direct product of a semisimple Artinian ring and a semiprime F DI-ring whose identity decomposition doesn’t contain artinian idempotents.	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	A decomposition theorem for semiprime rings	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA