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On weakly 1-absorbing prime ideals

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dc.contributor.authorKOÇ, SUAT
dc.contributor.authorTEKİR, ÜNSAL
dc.contributor.authorsKoc, Suat; Tekir, Unsal; Yildiz, Eda
dc.date.accessioned2022-03-14T09:52:07Z
dc.date.accessioned2026-01-11T06:05:28Z
dc.date.available2022-03-14T09:52:07Z
dc.date.issued2021-03-14
dc.description.abstractThis paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let A be a commutative ring with a nonzero identity 1 not equal 0. A proper ideal P of A is said to be a weakly 1-absorbing prime ideal if for every nonunits x, y, z. A with 0 not equal xyz. P, then xy is an element of P or z is an element of P. In addition to give many properties and characterizations of weakly 1-absorbing prime ideals, we also determine rings in which every proper ideal is weakly 1-absorbing prime. Furthermore, we investigate weakly 1-absorbing prime ideals in C( X), which is the ring of continuous functions of a topological space X.
dc.identifier.doi10.1007/s11587-020-00550-4
dc.identifier.eissn1827-3491
dc.identifier.issn0035-5038
dc.identifier.urihttps://hdl.handle.net/11424/243429
dc.identifier.wosWOS:000628816000001
dc.language.isoeng
dc.publisherSPRINGER-VERLAG ITALIA SRL
dc.relation.ispartofRICERCHE DI MATEMATICA
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectWeakly prime ideal
dc.subject1-absorbing prime ideal
dc.subjectWeakly 2-absorbing ideal
dc.subjectWeakly 1-absorbing prime ideal
dc.subjectTrivial extension
dc.subjectRings of continuous functions
dc.titleOn weakly 1-absorbing prime ideals
dc.typearticle
dspace.entity.typePublication
oaire.citation.titleRICERCHE DI MATEMATICA

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