ON QUASI MAXIMAL IDEALS OF COMMUTATIVE RINGS
| dc.contributor.author | Alan, Murat | |
| dc.contributor.author | Kiliç, Mesut | |
| dc.contributor.author | Koç, Suat | |
| dc.contributor.author | Tekir, Ünsal | |
| dc.date.accessioned | 2025-05-10T15:22:28Z | |
| dc.date.issued | 2023 | |
| dc.department | İstanbul Medeniyet Üniversitesi | |
| dc.description.abstract | Let R be a commutative ring with 1 ? 0. A proper ideal I of R is said to be a quasi maximal ideal if for every a ? R - I, either I + Ra = R or I + Ra is a maximal ideal of R. This class of ideals lies between 2-absorbing ideals and maximal ideals which is different from prime ideals. In addition to give fundamental properties of quasi maximal ideals, we characterize principal ideal UN-rings with ?02= (0), direct product of two fields, and Noetherian zero dimensional modules in terms of quasi maximal ideals. © 2023 Academic Publishing House. All rights reserved. | |
| dc.identifier.doi | 10.7546/CRABS.2023.12.01 | |
| dc.identifier.endpage | 1810 | |
| dc.identifier.issn | 1310-1331 | |
| dc.identifier.issue | 12 | |
| dc.identifier.scopus | 2-s2.0-85182371566 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1801 | |
| dc.identifier.uri | https://doi.org/10.7546/CRABS.2023.12.01 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14730/6448 | |
| dc.identifier.volume | 76 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Academic Publishing House | |
| dc.relation.ispartof | Comptes Rendus de L'Academie Bulgare des Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_Scopus_20250302 | |
| dc.subject | 2-absorbing ideal; maximal ideal; primary ideal; prime ideal; quasi-maximal ideal | |
| dc.title | ON QUASI MAXIMAL IDEALS OF COMMUTATIVE RINGS | |
| dc.type | Article |
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