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dc.contributor.authorAlkan, Mustafa
dc.contributor.authorNicholson, W. Keith
dc.contributor.authorOzcan, A. Cigdem
dc.date.accessioned2019-12-16T09:40:04Z
dc.date.available2019-12-16T09:40:04Z
dc.date.issued2008
dc.identifier.issn0021-8693
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2008.03.029
dc.identifier.urihttp://hdl.handle.net/11655/19796
dc.description.abstractLet 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.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.isversionof10.1016/j.jalgebra.2008.03.029
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics
dc.titleA Generalization of Projective Covers
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.relation.journalJournal Of Algebra
dc.contributor.departmentMatematik
dc.identifier.volume319
dc.identifier.issue12
dc.identifier.startpage4947
dc.identifier.endpage4960
dc.description.indexWoS
dc.description.indexScopus


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