On weakly s-ρ-ideals in noncommutative rings
| dc.contributor.author | Abouhalaka, Alaa | |
| dc.contributor.author | Çay, Hatice | |
| dc.contributor.author | Groenewald, Nico | |
| dc.date.accessioned | 2025-12-09T09:23:54Z | |
| dc.date.available | 2025-12-09T09:23:54Z | |
| dc.date.issued | 2024 | |
| dc.department | İstanbul Medipol Üniversitesi, İMÜ Meslek Yüksekokulu, Bilgisayar Programcılığı Ana Bilim Dalı | |
| dc.description.abstract | Let R be a noncommutative ring, and φ ≠ S ⊆ R be an m-system of R. In this paper, we extend the concept of weakly prime ideals in noncommutative rings by introducing weakly S-ρ-ideals. This generalization builds on the notions of right S-prime, weakly S-n-ideals and S-ρ-ideals. We present equivalent definitions and key properties of weakly S-ρ-ideals. We also explore with the method of idealization how the weakly S-ρ-ideal property transfers to related rings and construct such ideals. On the other hand we give a generalization of S-J-ideals which were introduced in [12]. | |
| dc.identifier.citation | Abouhalaka, A., Çay, H. ve Groenewald, N. (2024). On weakly s-ρ-ideals in noncommutative rings. Gulf Journal of Mathematics, 18(2), 1-15. http://dx.doi.org/10.56947/gjom.v18i2.2221 | |
| dc.identifier.doi | 10.56947/gjom.v18i2.2221 | |
| dc.identifier.endpage | 15 | |
| dc.identifier.issn | 2309-4966 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85212195435 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1 | |
| dc.identifier.uri | http://dx.doi.org/10.56947/gjom.v18i2.2221 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12511/13310 | |
| dc.identifier.volume | 18 | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Çay, Hatice | |
| dc.institutionauthorid | 0000-0003-3965-1049 | |
| dc.language.iso | en | |
| dc.relation.ispartof | Gulf Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | And Phrases | |
| dc.subject | Weakly S-Ρ-Ideal | |
| dc.subject | M-System | |
| dc.subject | Noncommutative Ring | |
| dc.subject | S-Ρ-Ideal | |
| dc.subject | Special Radical Classes | |
| dc.title | On weakly s-ρ-ideals in noncommutative rings | |
| dc.type | Article |
