Kernel-endoregular modules and the morphic property

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dc.authoridTaşdemir, Özgür/0000-0003-2500-8255
dc.authorwosidTaşdemir, Özgür/B-3626-2019
dc.contributor.authorTasdemir, Ozgur
dc.contributor.authorKosan, M. Tamer
dc.date.accessioned2024-06-12T10:50:11Z
dc.date.available2024-06-12T10:50:11Z
dc.date.issued2024
dc.departmentTrakya Üniversitesien_US
dc.description.abstractThis paper describes properties of three certain classes of modules M over a ring R determined by conditions on isomorphic direct summands (less than or similar to circle plus):(1) The condition that whenever (Im lambda congruent to)M/Ker lambda less than or similar to M-circle plus then Ker lambda and Im lambda are direct summands of M for any endomorphism lambda is an element of End(M) (kernel-endoregular modules).(2)The condition that if M/A congruent to B where A, B less than or similar to M-circle plus then M/B congruent to A (iso-summand-morphic modules).(3 )The condition if M/A congruent to B where A, B <= M-circle plus , then M/B congruent to A (summand-morphic modules) which is precisely the internal cancellation property for modules.en_US
dc.description.sponsorshipThe authors would like to express their gratitude for the referee's thorough review of the manuscript and the valuable remarks provided.en_US
dc.description.sponsorshipThe authors would like to express their gratitude for the referee's thorough review of the manuscript and the valuable remarks provided.en_US
dc.identifier.doi10.1080/00927872.2023.2274951
dc.identifier.endpage1825en_US
dc.identifier.issn0092-7872
dc.identifier.issn1532-4125
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85175810024en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1818en_US
dc.identifier.urihttps://doi.org/10.1080/00927872.2023.2274951
dc.identifier.urihttps://hdl.handle.net/20.500.14551/17890
dc.identifier.volume52en_US
dc.identifier.wosWOS:001098438300001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofCommunications In Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(Co-)Hopfian Moduleen_US
dc.subjectC2 Modulesen_US
dc.subject(Dual-)Rickart Moduleen_US
dc.subjectD2 Modulesen_US
dc.subjectEndoregular Moduleen_US
dc.subjectMorphic Moduleen_US
dc.subjectUnit-Regular Moduleen_US
dc.subjectEndomorphism-Ringsen_US
dc.titleKernel-endoregular modules and the morphic propertyen_US
dc.typeArticleen_US

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