Relative subcopure-injective modules
| dc.contributor.author | Alagöz, Yusuf | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-12T07:27:07Z | |
| dc.date.available | 2021-11-12T07:27:07Z | |
| dc.date.issued | 2020-06-30 | |
| dc.description.abstract | In this paper, copure-injective modules is examined from an alternative perspective. For two modules A and B, A is called B-subcopure-injective if for every copure monomorphism f : B → C and homomorphism g : B → A, there exists a homomorphism h : C → A such that hf=g. For a module A, the subcopure-injectivity domain of A is defined to be the collection of all modules B such that A is B-subcopure-injective. Basic properties of the notion of subcopure-injectivity are investigated. We obtain characterizations for various types of rings and modules, including copure-injective modules, right CDS rings and right V-rings in terms of subcopure-injectivity domains. Since subcopure-injectivity domains clearly contains all copure-injective modules, studying the notion of modules which are subcopure-injective only with respect to the class of copure-injective modules is reasonable. We refer to these modules as sc-indigent. We studied the properties of subcopure-injectivity domains and of sc-indigent modules and investigated over some certain rings. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 846 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 832 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.640331 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/76034 | |
| dc.identifier.volume | 69 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.640331 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Copure-injective modules | tr_TR |
| dc.subject | Subcopure-injectivity domains | tr_TR |
| dc.subject | Sc-indigent modules | tr_TR |
| dc.title | Relative subcopure-injective modules | tr_TR |
| dc.type | Article | tr_TR |