On weak Rickart modules

dc.contributor.authorTutuncu, Derya Keskin
dc.contributor.authorErtas, Nil Orhan
dc.contributor.authorTribak, Rachid
dc.date.accessioned2024-09-29T16:04:50Z
dc.date.available2024-09-29T16:04:50Z
dc.date.issued2017
dc.departmentKarabük Üniversitesien_US
dc.description.abstractWe introduce and study the notion of w-Rickart modules (i.e. modules M such that for every nonzero endomorphism phi of M, the kernel of phi is contained in a proper direct summand of M). We show that the class of right w-Rickart modules lies properly between the class of right K-nonsingular modules and the class of right Rickart modules. Many properties of w-Rickart modules are established. Some relevant counterexamples are indicated.en_US
dc.description.sponsorshipTUBITAK (Scientific and Technological Research Council of Turkey) [BIDEB 2221]; Karabuk Universityen_US
dc.description.sponsorshipThis work has been done during a visit of the third author to the Department of Mathematics, Karabuk University in August 2015. The authors would like to express their special thanks to TUBITAK (Scientific and Technological Research Council of Turkey) for their financial support through the grant BIDEB 2221 that makes the third author's visit possible to Turkey in August 2015 and Karabuk University for their support and hospitality. Also the first and third authors wish to thank the second author and her family for their kind hospitality. Finally, the authors are thankful to the referee for his valuable comments on this paper.en_US
dc.identifier.doi10.1142/S0219498817501651
dc.identifier.issn0219-4988
dc.identifier.issn1793-6829
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-84990249359en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1142/S0219498817501651
dc.identifier.urihttps://hdl.handle.net/20.500.14619/6349
dc.identifier.volume16en_US
dc.identifier.wosWOS:000403431800005en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofJournal of Algebra and Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRickart modulesen_US
dc.subjectweak Rickart modulesen_US
dc.subjectweak Rickart ringsen_US
dc.subjectV-ringsen_US
dc.titleOn weak Rickart modulesen_US
dc.typeArticleen_US

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