LOCALLY S-PRIME IDEALS

dc.authorwosidArabacı, Tarık/JVP-0570-2024
dc.contributor.authorArabaci, Tarik
dc.contributor.authorSevim, Esra Sengelen
dc.date.accessioned2024-07-18T20:50:48Z
dc.date.available2024-07-18T20:50:48Z
dc.date.issued2020
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractLet R be a commutative ring and S be a multiplicatively closed subset of R. Lambda proper ideal P of R is called locally S-prime if P-S is a prime ideal of R-S. It is shown that, P is a locally S-prime ideal if and only if whenever P boolean AND S = ? and if ab is an element of P for some a, b is an element of R, then there exists s is an element of S such that sa is an element of P or sb is an element of P. As a consequence of this fact and well-known properties of prime ideals we obtain some properties of these ideals. Also, all multiplicatively closed subsets S of R that an ideal can be locally S-prime are characterised. Finally, these ideals are studied in an S-Noetherian ring.en_US
dc.identifier.doi10.7546/CRABS.2020.12.03
dc.identifier.endpage1657en_US
dc.identifier.issn1310-1331
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85099757164en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1650en_US
dc.identifier.urihttps://doi.org/10.7546/CRABS.2020.12.03
dc.identifier.urihttps://hdl.handle.net/11411/8245
dc.identifier.volume73en_US
dc.identifier.wosWOS:000608240800003en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPubl House Bulgarian Acad Scien_US
dc.relation.ispartofComptes Rendus De L Academie Bulgare Des Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLocally S-Prime İdealen_US
dc.subjectS-Noetherian Ringen_US
dc.titleLOCALLY S-PRIME IDEALSen_US
dc.typeArticleen_US

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