ON n-1-ABSORBING PRIMARY IDEALS

dc.authorid0000-0001-7039-2095
dc.contributor.authorUlucak, Gulsen
dc.contributor.authorBabaei, Sakineh
dc.contributor.authorSevim, Esra sengelen
dc.date.accessioned2026-04-04T18:56:04Z
dc.date.available2026-04-04T18:56:04Z
dc.date.issued2024
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractThe paper aims to present a new primary ideal in a commutative ring R with nonzero identity element. We introduce the new primary ideal as an n-1-absorbing primary ideal that is a generalization of both primary and 1-absorbing primary ideals. We propose to achieve two goals with this paper. Firstly, we study and characterize some essential properties of an n-1-absorbing primary ideals and figure out the relations between the other types of ideals such as prime, 1absorbing primary and irreducible ideals. Then, we classify some special rings that admit an n-1-absorbing primary ideal. We provide the results by introducing some examples.
dc.identifier.doi10.18514/MMN.2024.4267
dc.identifier.doi10.18514/MMN.2024.4267
dc.identifier.endpage522
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85196120824
dc.identifier.scopusqualityQ2
dc.identifier.startpage509
dc.identifier.urihttps://doi.org/10.18514/MMN.2024.4267
dc.identifier.urihttps://hdl.handle.net/11411/10666
dc.identifier.volume25
dc.identifier.wosWOS:001240590000039
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260402
dc.snmzKA_Scopus_20260402
dc.subjectPrimary Ideal
dc.subject1-Absorbing Primary Ideal
dc.subjectN-1-Absorbing Primary Ideal
dc.titleON n-1-ABSORBING PRIMARY IDEALS
dc.typeArticle

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