S-j-ideals: a study in commutative and noncommutative rings

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dc.contributor.authorAbouhalaka, Alaa
dc.contributor.authorÇay, Hatice
dc.contributor.authorErsoy, Bayram Ali
dc.date.accessioned2025-11-27T18:32:29Z
dc.date.available2025-11-27T18:32:29Z
dc.date.issued2024
dc.departmentİstanbul Medipol Üniversitesi, İMÜ Meslek Yüksekokulu, Bilgisayar Programcılığı Ana Bilim Dalı
dc.description.abstractIn this paper, we introduce the concept of S- (Formula presented.) -ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of (Formula presented.) -ideals apply to S- (Formula presented.) -ideals and examine their characteristics in various ring constructions, such as homomorphic image rings, quotient rings, cartesian product rings, polynomial rings, power series rings, idealization rings, and amalgamation rings. In noncommutative rings, where S is an m-system, we define right S- (Formula presented.) -ideals. We demonstrate the equivalence of S- (Formula presented.) -ideals and right S- (Formula presented.) -ideals in commutative rings with identity and provide examples to illustrate the connections between right S-prime ideals and (Formula presented.) -ideals.
dc.description.sponsorshipIstanbul Medipol University
dc.identifier.citationAbouhalaka, A., Çay, H. ve Ersoy, B. A. (2024). S-j-ideals: a study in commutative and noncommutative rings. Journal of Mathematics, 2024(1). http://dx.doi.org/10.1155/2024/1707271
dc.identifier.doi10.1155/2024/1707271
dc.identifier.issn2314-4629
dc.identifier.issn2314-4785
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105015477492
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1155/2024/1707271
dc.identifier.urihttps://hdl.handle.net/20.500.12511/13252
dc.identifier.volume2024
dc.identifier.wosWOS:001361758500002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇay, Hatice
dc.institutionauthorid0000-0003-3965-1049
dc.language.isoen
dc.relation.ispartofJournal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCommutative Ring
dc.subjectJ-Ideal
dc.subjectM-System
dc.subjectMultiplicatively Closed Subset
dc.subjectNoncommutative Ring
dc.subjectS-J-Ideals
dc.titleS-j-ideals: a study in commutative and noncommutative rings
dc.typeArticle

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