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Graded Weakly 1-absorbing prime ideals

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dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsTekir Ü., Koç S., Abu-Dawwas R., Yıldız E.
dc.date.accessioned2023-06-07T08:55:19Z
dc.date.accessioned2026-01-11T11:33:27Z
dc.date.available2023-06-07T08:55:19Z
dc.date.issued2022-06-01
dc.description.abstractIn 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 ̸= 0. A proper graded ideal P of R is called a graded weakly 1-absorbing prime ideal if for each nonunits x, y, z ∈ h(R) with 0 ̸= xyz ∈ P, then either xy ∈ P or z ∈ 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.
dc.identifier.citationTekir Ü., Koç S., Abu-Dawwas R., Yıldız E., "Graded Weakly 1-absorbing Prime Ideals", Cubo-A Mathematical Journal, cilt.24, sa.2, ss.1-13, 2022
dc.identifier.endpage13
dc.identifier.issn0716-7776
dc.identifier.issue2
dc.identifier.startpage1
dc.identifier.urihttp://cubo.ufro.cl/
dc.identifier.urihttps://www.scielo.cl/pdf/cubo/v24n2/0719-0646-cubo-24-02-291.pdf
dc.identifier.urihttps://hdl.handle.net/11424/290025
dc.identifier.volume24
dc.language.isoeng
dc.relation.ispartofCubo-A Mathematical Journal
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.subjectDeğişmeli Halkalar ve Cebirler
dc.subjectTemel Bilimler
dc.subjectMathematics
dc.subjectCommutative Rings and Algebras
dc.subjectNatural Sciences
dc.subjectTemel Bilimler (SCI)
dc.subjectDoğa Bilimleri Genel
dc.subjectÇOK DİSİPLİNLİ BİLİMLER
dc.subjectMATEMATİK
dc.subjectNatural Sciences (SCI)
dc.subjectNATURAL SCIENCES, GENERAL
dc.subjectMATHEMATICS
dc.subjectMULTIDISCIPLINARY SCIENCES
dc.subjectMultidisipliner
dc.subjectAyrık Matematik ve Kombinatorik
dc.subjectGeometri ve Topoloji
dc.subjectMantık
dc.subjectFizik Bilimleri
dc.subjectMultidisciplinary
dc.subjectDiscrete Mathematics and Combinatorics
dc.subjectGeometry and Topology
dc.subjectLogic
dc.subjectPhysical Sciences
dc.subjectgraded ideal
dc.subject1-absorbing prime ideal
dc.subjectweakly 1-absorbing prime ideal
dc.subjectgraded weakly 1-absorbing prime ideal
dc.titleGraded Weakly 1-absorbing prime ideals
dc.typearticle
dspace.entity.typePublication

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