2-nil ideals of commutative rings

dc.contributor.authorYetkin-Çelikel, Ece
dc.contributor.institutionauthorYetkin-Çelikel, Ece
dc.date.accessioned2023-01-17T10:54:58Z
dc.date.available2023-01-17T10:54:58Z
dc.date.issued2021en_US
dc.departmentHKÜ, Mühendislik Fakültesi, Elektrik Elektronik Mühendisliği Bölümüen_US
dc.description.abstractThe concept of 2-nil ideal of a commutative ring R is introduced, as an alternative to the (2, n)-ideals from [6]. We study its relationship with previously introduced classes of ideals, such as 2-absorbing ideals and n-ideals. Various properties and examples are presented. Our main result is a characterization of rings for which every 2-nil ideal is prime. We give a description of 2-nil ideals of general ZPI-rings. © 2021 Belgian Mathematical Society. All rights reserved.en_US
dc.identifier.citationYetkin-Çelikel, E. (2021). 2-nil ideals of commutative rings. Bulletin of the Belgian Mathematical Society - Simon Stevin: Cilt, 28, s. 295-304.en_US
dc.identifier.doi10.36045/j.bbms.201031
dc.identifier.endpage304en_US
dc.identifier.issn13701444
dc.identifier.issue2en_US
dc.identifier.orcid0000-0001-6194-656Xen_US
dc.identifier.scopus2-s2.0-85122986896
dc.identifier.scopusqualityQ4
dc.identifier.startpage295en_US
dc.identifier.urihttps://hdl.handle.net/20.500.11782/3097
dc.identifier.volume28en_US
dc.identifier.wosWOS:000736276500008
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherBelgian Mathematical Societyen_US
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject2-absorbing primary idealen_US
dc.subject2-nil idealen_US
dc.subjectn-idealen_US
dc.subjectprimary idealen_US
dc.title2-nil ideals of commutative rings
dc.typeArticle

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