dc.contributor.author | Alkan, Mustafa | |
dc.contributor.author | Nicholson, W. Keith | |
dc.contributor.author | Ozcan, A. Cigdem | |
dc.date.accessioned | 2019-12-16T09:40:04Z | |
dc.date.available | 2019-12-16T09:40:04Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | https://doi.org/10.1016/j.jalgebra.2008.03.029 | |
dc.identifier.uri | http://hdl.handle.net/11655/19796 | |
dc.description.abstract | Let M be a left module over a ring R and I an ideal of R. We call (P, f) a projective I-cover of M if f is an epimorphism from P to M, P is projective, Ker f subset of I P, and whenever P = Ker f + X, then there exists a summand Y of P in Ker f such that P = Y + X. This definition generalizes projective covers and projective delta-covers. Similar to semiregular and serniperfect rings, we characterize I-semiregular and I-semiperfect rings which are defined by Yousif and Zhou using projective I-covers. In particular, we consider certain ideals such as Z((R) R), Soc((R) R), delta(R R) and Z(2) ((R) R). (c) 2008 Elsevier Inc. All rights reserved. | |
dc.language.iso | en | |
dc.publisher | Academic Press Inc Elsevier Science | |
dc.relation.isversionof | 10.1016/j.jalgebra.2008.03.029 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Mathematics | |
dc.title | A Generalization of Projective Covers | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.relation.journal | Journal Of Algebra | |
dc.contributor.department | Matematik | |
dc.identifier.volume | 319 | |
dc.identifier.issue | 12 | |
dc.identifier.startpage | 4947 | |
dc.identifier.endpage | 4960 | |
dc.description.index | WoS | |
dc.description.index | Scopus | |