Quotient Gamma Nearness Rings
| dc.contributor.author | Öztürk, M. | |
| dc.contributor.author | Yilmaz, D. | |
| dc.date.accessioned | 2026-03-26T15:03:14Z | |
| dc.date.available | 2026-03-26T15:03:14Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | The aim of this paper is to defined the quotient gamma nearness rings and to examine its properties. We generalize an important theorem for quotient gamma nearness rings. More clearly, we prove the following theorem: Let M≠0M be a commutative Γ-nearness ring such that Nr(B)∗(Nr(B)∗M)=Nr(B)∗M, P be a Γ-nearness ideal of M such that Nr(B)∗(Nr(B)∗P)=Nr(B)∗P, and ∼Br be a congruence indiscernibility relation on M. Then, P is a prime Γ-nearness ideal if and only if M/P is a Γ-nearness integral domain. © Università degli Studi di Napoli "Federico II" 2024. | en_US |
| dc.identifier.doi | 10.1007/s11587-024-00884-3 | |
| dc.identifier.issn | 0035-5038 | |
| dc.identifier.scopus | 2-s2.0-105003383624 | |
| dc.identifier.uri | https://doi.org/10.1007/s11587-024-00884-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14901/3753 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-Verlag Italia s.r.l. | en_US |
| dc.relation.ispartof | Ricerche Di Matematica | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Gamma Nearness Rings | en_US |
| dc.subject | Near Sets | en_US |
| dc.subject | Nearness Approximation Spaces | en_US |
| dc.subject | Nearness Rings | en_US |
| dc.subject | Quotient Nearness Rings | en_US |
| dc.subject | Weak Nearness Approximation Spaces | en_US |
| dc.title | Quotient Gamma Nearness Rings | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 7102665880 | |
| gdc.author.scopusid | 57203342752 | |
| gdc.description.department | Erzurum Technical University | en_US |
| gdc.description.departmenttemp | [Öztürk] Mehmet Ali, Department of Mathematics, Adiyaman Üniversitesi, Adiyaman, Adiyaman, Turkey; [Yilmaz] Damla, Department of Mathematics, Erzurum Technical University, Erzurum, Erzurum, Turkey | en_US |
| gdc.description.endpage | 766 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.startpage | 751 | en_US |
| gdc.description.volume | 74 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.index.type | Scopus | |
| gdc.virtual.author | Yılmaz, Damla | |
| relation.isAuthorOfPublication | cf4431bf-a775-4ffd-9221-ca402c541521 | |
| relation.isAuthorOfPublication.latestForDiscovery | cf4431bf-a775-4ffd-9221-ca402c541521 |