2-Absorbing Vague Weakly Complete ?-Ideals in ?-Rings

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dc.authoridOnar, Serkan/0000-0003-3084-7694
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.contributor.authorOnar, Serkan
dc.contributor.authorHila, Kostaq
dc.contributor.authorEtemad, Sina
dc.contributor.authorAkgül, Ali
dc.contributor.authorDe la sen, Manuel
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2024-12-24T19:33:47Z
dc.date.available2024-12-24T19:33:47Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe aim of this study is to provide a generalization of prime vague Gamma-ideals in Gamma-rings by introducing non-symmetric 2-absorbing vague weakly complete Gamma-ideals of commutative Gamma-rings. A novel algebraic structure of a primary vague Gamma-ideal of a commutative Gamma-ring is presented by 2-absorbing weakly complete primary ideal theory. The approach of non-symmetric 2-absorbing K-vague Gamma-ideals of Gamma-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Gamma-ideals and 2-absorbing Gamma-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Gamma-ideal of a Gamma-ring and 2-absorbing K-vague Gamma-ideal of a Gamma-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Gamma-ring of R induced by a 2-absorbing vague weakly complete Gamma-ideal of a 2-absorbing Gamma-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Gamma-ideal.
dc.description.sponsorshipAzarbaijan Shahid Madani University; Basque Government [IT1555-22, KK-2022/00090, PID2021-1235430B-C21/C22]
dc.description.sponsorshipThis research received no external funding.
dc.identifier.doi10.3390/sym15030740
dc.identifier.issn2073-8994
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85151714022
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15030740
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8293
dc.identifier.volume15
dc.identifier.wosWOS:000959713800001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subject2-absorbing ideal
dc.subjectvague weakly complete Gamma-ideal
dc.subject2-absorbing K-vague Gamma-ideal
dc.subjectradical
dc.title2-Absorbing Vague Weakly Complete ?-Ideals in ?-Rings
dc.typeArticle

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