On M-coidempotent elements and fully coidempotent modules
| dc.contributor.author | Ceken Gezen, Secil | |
| dc.date.accessioned | 2024-06-12T11:08:09Z | |
| dc.date.available | 2024-06-12T11:08:09Z | |
| dc.date.issued | 2020 | |
| dc.department | Trakya Üniversitesi | en_US |
| dc.description.abstract | In this article, we introduce the notion of M-coidempotent elements of a ring and investigate their connections with fully coidempotent modules, fully copure modules and vn-regular modules where M is a module. We prove that if M is a finitely cogenerated module, then M is fully copure if and only if M is semisimple. We prove that if M is a Noetherian module or M is a finitely cogenerated module, then M is fully coidempotent if and only if M is a vn-regular module. Finally, we give a characterization of semisimple Artinian modules via weak idempotents. | en_US |
| dc.identifier.doi | 10.1080/00927872.2020.1768266 | |
| dc.identifier.endpage | 4646 | en_US |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.issue | 11 | en_US |
| dc.identifier.scopus | 2-s2.0-85085969591 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 4638 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/00927872.2020.1768266 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/22317 | |
| dc.identifier.volume | 48 | en_US |
| dc.identifier.wos | WOS:000538934200001 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Inc | en_US |
| dc.relation.ispartof | Communications In Algebra | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | M-Coidempotent Element | en_US |
| dc.subject | Fully Coidempotent Module | en_US |
| dc.subject | Fully Copure Module | en_US |
| dc.subject | Vn-Regular Module | en_US |
| dc.subject | Comultiplication Modules | en_US |
| dc.subject | Dual Notion | en_US |
| dc.subject | Rings | en_US |
| dc.title | On M-coidempotent elements and fully coidempotent modules | en_US |
| dc.type | Article | en_US |
