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Graded weakly 1-absorbing prime ideals

dc.creatorTekir, Ünsal
dc.creatorKoç, Suat
dc.creatorAbu-Dawwas, Rashid
dc.creatorYıldız, Eda
dc.date2022-08-22
dc.date.accessioned2022-08-30T14:54:24Z
dc.date.available2022-08-30T14:54:24Z
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/3103
dc.identifier10.56754/0719-0646.2402.0291
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/206745
dc.descriptionIn this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let \(G\) be a group and \(R\) be a \(G\)-graded commutative ring with a nonzero identity \(1\neq0\). A proper graded ideal \(P\) of \(R\) is called a graded weakly 1-absorbing prime ideal if for each nonunits \(x,y,z\in h(R)\) with \(0\neq xyz\in P\), then either \(xy\in P\) or \(z\in P\). We give many properties and characterizations of graded weakly 1-absorbing prime ideals. Moreover, we investigate weakly 1-absorbing prime ideals under homomorphism, in factor ring, in rings of fractions, in idealization.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/3103/2203
dc.rightsCopyright (c) 2022 Ü. Tekir et al.en-US
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 No. 2 (2022); 291–305en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 Núm. 2 (2022); 291–305es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectgraded idealen-US
dc.subject1-absorbing prime idealen-US
dc.subjectweakly 1-absorbing prime idealen-US
dc.subjectgraded weakly 1-absorbing prime idealen-US
dc.titleGraded weakly 1-absorbing prime idealsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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