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On graded 1-absorbing prime ideals

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dc.contributor.authorKOÇ, SUAT
dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsAbu-Dawwas, Rashid; Yildiz, Eda; Tekir, Unsal; Koc, Suat
dc.date.accessioned2022-03-12T22:57:34Z
dc.date.accessioned2026-01-10T16:51:52Z
dc.date.available2022-03-12T22:57:34Z
dc.date.issued2021
dc.description.abstractLet G be a group with identity e and R be a G-graded commutative ring with unity 1. In this article, we introduce and study the concept of graded 1-absorbing prime ideals which is a generalization of graded prime ideals. A proper graded ideal P of R is called graded 1-absorbing prime if for all nonunit elements x,y,z is an element of h(R) such that xy z is an element of P, then either xy is an element of P or z is an element of P.
dc.identifier.doi10.1007/s40863-021-00218-3
dc.identifier.eissn2316-9028
dc.identifier.issn1982-6907
dc.identifier.urihttps://hdl.handle.net/11424/237063
dc.identifier.wosWOS:000621277700001
dc.language.isoeng
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AG
dc.relation.ispartofSAO PAULO JOURNAL OF MATHEMATICAL SCIENCES
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGraded 1-absorbing prime ideal
dc.subjectGraded prime ideal
dc.subjectGraded primary ideal
dc.subjectGraded 2-absorbing ideal
dc.titleOn graded 1-absorbing prime ideals
dc.typearticle
dspace.entity.typePublication
oaire.citation.endPage462
oaire.citation.issue1
oaire.citation.startPage450
oaire.citation.titleSAO PAULO JOURNAL OF MATHEMATICAL SCIENCES
oaire.citation.volume15

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