Rings which have (m,n)-flat injective modules

dc.contributor.author	Zhanmin, Z.
dc.contributor.author	Zhangsheng, X.
dc.date.accessioned	2019-06-20T02:30:38Z
dc.date.available	2019-06-20T02:30:38Z
dc.date.issued	2005
dc.identifier.citation	Rings which have (m,n)-flat injective modules / Z. Zhanmin, X. Zhangsheng // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 93–100. — Бібліогр.: 12 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 16D50, 16E65.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/157333
dc.description.abstract	A ring R is said to be a left IF − (m, n) ring if every injective left R-module is (m, n)-flat. In this paper, several characterizations of left IF − (m, n) rings are investigated, some conditions under which R is left IF−(m, n) are given. Furthermore, conditions under which a left IF −1 ring (i.e., IF −(1, 1) ring) is a field, a regular ring and a semisimple ring are studied respectively.	uk_UA
dc.description.sponsorship	We are indebted to the referee for several comments that improved the paper.	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	Rings which have (m,n)-flat injective modules	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA