Weakly Poor Modules
| dc.contributor.author | Alagöz, Yusuf | |
| dc.date.accessioned | 2024-12-24T19:10:22Z | |
| dc.date.available | 2024-12-24T19:10:22Z | |
| dc.date.issued | 2022 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, weakly poor modules are introduced as modules whose injectivity domains are contained in the class of all copure-split modules. This notion gives a generalization of both poor modules and copure-injectively poor modules. Properties involving weakly poor modules as well as examples that show the relations between weakly poor modules, poor modules, impecunious modules and copure-injectively poor modules are given. Rings over which every module is weakly poor are right CDS. A ring over which there is a cyclic projective weakly poor module is proved to be weakly poor. Moreover, the characterizations of weakly poor abelian groups is given. It states that an abelian group A is weakly poor if and only if A is impecunious if and only if for every prime integer p, A has a direct summand isomorphic to Zpn for some positive integer n. Consequently, an example of a weakly poor abelian group which is neither poor nor copure-injectively poor is given so that the generalization defined is proper. © 2022, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved. | |
| dc.identifier.endpage | 254 | |
| dc.identifier.issn | 2147-625X | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85203510647 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 250 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/4080 | |
| dc.identifier.volume | 10 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Prof. Dr. Mehmet Zeki SARIKAYA | |
| dc.relation.ispartof | Konuralp Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | (weakly) poor modules | |
| dc.subject | CDS rings | |
| dc.subject | Copure-injective modules | |
| dc.subject | Copure-split modules | |
| dc.title | Weakly Poor Modules | |
| dc.type | Article |
