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On n-1-absorbing prime ideals

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dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsUlucak G., Koç S., Tekir Ü.
dc.date.accessioned2023-05-23T08:58:47Z
dc.date.accessioned2026-01-10T19:43:27Z
dc.date.available2023-05-23T08:58:47Z
dc.date.issued2022-05-01
dc.description.abstractIn this paper, we introduce and study n -1-absorbing prime ideals of commutative rings. Let R be a ring and n a positive integer. A proper ideal I of R is said to be an n -1-absorbing prime ideal if whenever x1x2…xn+1∈I for some nonunits x1,x2,…,xn+1∈R, then either x1x2…xn∈I or xn+1∈I. It is obvious that 1-1-absorbing (2-1-absorbing) prime ideals are exactly prime (1-absorbing prime) ideals. Various examples and characterizations of n -1-absorbing prime ideals are given.
dc.identifier.citationUlucak G., Koç S., Tekir Ü., "On n-1-absorbing prime ideals", JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.22, ss.1-11, 2022
dc.identifier.doi10.1142/s0219498823502079
dc.identifier.endpage11
dc.identifier.issn0219-4988
dc.identifier.startpage1
dc.identifier.urihttps://www.worldscientific.com/doi/10.1142/S0219498823502079
dc.identifier.urihttps://hdl.handle.net/11424/289555
dc.identifier.volume22
dc.language.isoeng
dc.relation.ispartofJOURNAL OF ALGEBRA AND ITS APPLICATIONS
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.subjectPrime ideal1
dc.subjectabsorbing prime idealn
dc.subject1-absorbing prime ideal
dc.titleOn n-1-absorbing prime ideals
dc.typearticle
dspace.entity.typePublication

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