On radical square zero rings

dc.contributor.author	Ringel, C.M.
dc.contributor.author	Xiong, B.-L.
dc.date.accessioned	2019-06-09T06:14:14Z
dc.date.available	2019-06-09T06:14:14Z
dc.date.issued	2012
dc.identifier.citation	On radical square zero rings / C.M. Ringel, B.-L. Xiong // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 297–306. — Бібліогр.: 4 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:16D90, 16G10; 16G70.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152245
dc.description.abstract	Let Λ be a connected left artinian ring with radical square zero and with n simple modules. If Λ is not self-injective, then we show that any module M with Exti(M, Λ) = 0 for 1 ≤ i ≤ n + 1 is projective. We also determine the structure of the artin algebras with radical square zero and n simple modules which have a non-projective module M such that Exti(M, Λ) = 0 for 1 ≤ i ≤ n.	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 radical square zero rings	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA