LOCALLY S-PRIME IDEALS
dc.authorwosid | Arabacı, Tarık/JVP-0570-2024 | |
dc.contributor.author | Arabaci, Tarik | |
dc.contributor.author | Sevim, Esra Sengelen | |
dc.date.accessioned | 2024-07-18T20:50:48Z | |
dc.date.available | 2024-07-18T20:50:48Z | |
dc.date.issued | 2020 | |
dc.department | İstanbul Bilgi Üniversitesi | en_US |
dc.description.abstract | Let 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.doi | 10.7546/CRABS.2020.12.03 | |
dc.identifier.endpage | 1657 | en_US |
dc.identifier.issn | 1310-1331 | |
dc.identifier.issue | 12 | en_US |
dc.identifier.scopus | 2-s2.0-85099757164 | en_US |
dc.identifier.scopusquality | Q3 | en_US |
dc.identifier.startpage | 1650 | en_US |
dc.identifier.uri | https://doi.org/10.7546/CRABS.2020.12.03 | |
dc.identifier.uri | https://hdl.handle.net/11411/8245 | |
dc.identifier.volume | 73 | en_US |
dc.identifier.wos | WOS:000608240800003 | en_US |
dc.identifier.wosquality | Q4 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Publ House Bulgarian Acad Sci | en_US |
dc.relation.ispartof | Comptes Rendus De L Academie Bulgare Des Sciences | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Locally S-Prime İdeal | en_US |
dc.subject | S-Noetherian Ring | en_US |
dc.title | LOCALLY S-PRIME IDEALS | en_US |
dc.type | Article | en_US |