On π-Morphic modules

buir.contributor.authorKurtulmaz, Yosum
dc.citation.epage418en_US
dc.citation.issueNumber4en_US
dc.citation.spage411en_US
dc.citation.volumeNumber42en_US
dc.contributor.authorHarmanci, A.en_US
dc.contributor.authorKose, H.en_US
dc.contributor.authorKurtulmaz, Yosumen_US
dc.date.accessioned2019-02-07T18:37:31Z
dc.date.available2019-02-07T18:37:31Z
dc.date.issued2013en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractLet R be an arbitrary ring with identity and M be a right R-module with S = End(MR). Let f ∈ S. f is called π-morphic if M/f n(M) ∼=rM(fn) for some positive integer n. A module M is called π-morphic if every f ∈ S is π-morphic. It is proved that M is π-morphic and image-projective if and only if S is right π-morphic and M generates its kernel. S is unit-π-regular if and only if M is π-morphic and π-Rickart if and only if M is π-morphic and dual π-Rickart. M is π-morphic and image-injective if and only if S is left π-morphic and M cogenerates itscokernel.en_US
dc.identifier.issn1303-5010
dc.identifier.urihttp://hdl.handle.net/11693/49072
dc.language.isoEnglishen_US
dc.publisherHacettepe University, Department of Mathematicsen_US
dc.source.titleHacettepe Journal of Mathematics and Statisticsen_US
dc.subjectEndomorphism ringsen_US
dc.subjectN-morphic ringsen_US
dc.subjectN-morphic modulesen_US
dc.subjectUnit π-regular ringsen_US
dc.subject16D99en_US
dc.subject16S50en_US
dc.subject16U99en_US
dc.titleOn π-Morphic modulesen_US
dc.typeArticleen_US
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