On graded nil clean rings

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dc.contributor.authorIlic-Georgijevic, Emil
dc.contributor.authorSahinkaya, Serap
dc.date.accessioned2025-10-29T11:19:15Z
dc.date.issued2018
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper we introduce and study the notion of a graded (strongly) nil clean ring which is group graded. We also deal with extensions of graded (strongly) nil clean rings to graded matrix rings and to graded group rings. The question of when nil cleanness of the component, which corresponds to the neutral element of a group, implies graded nil cleanness of the whole graded ring is examined. Similar question is discussed in the case of groupoid graded rings as well.
dc.description.sponsorshipTUBITAK [117F070]
dc.description.sponsorshipThe second author was supported by the TUBITAK (No. 117F070).
dc.identifier.doi10.1080/00927872.2018.1435791
dc.identifier.endpage4089
dc.identifier.issn0092-7872
dc.identifier.issn1532-4125
dc.identifier.issue9
dc.identifier.orcid0000-0002-4667-8322
dc.identifier.orcid0000-0002-2084-6260
dc.identifier.scopus2-s2.0-85042922828
dc.identifier.scopusqualityQ2
dc.identifier.startpage4079
dc.identifier.urihttps://doi.org/10.1080/00927872.2018.1435791
dc.identifier.urihttps://hdl.handle.net/20.500.14854/8050
dc.identifier.volume46
dc.identifier.wosWOS:000437332000029
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofCommunications in Algebra
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectGraded rings and modules
dc.subjectgroup rings
dc.subjectmatrix rings
dc.subjectnil clean rings
dc.titleOn graded nil clean rings
dc.typeArticle

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