On M-injective and M-projective Modules
| dc.contributor.author | Alagöz, Yusuf | |
| dc.date.accessioned | 2024-12-24T19:18:06Z | |
| dc.date.available | 2024-12-24T19:18:06Z | |
| dc.date.issued | 2020 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | A left R-module M is called max-injective (or m-injective for short) if for any maximal left ideal I,any homomorphism f : I ? M can be extended to g : R ? M, if and only if Ext1R(R/I, M) = 0for any maximal left ideal I. A left R-module M is called max-projective (or m-projective for short)if Ext1R(M, N) = 0 for any max-injective left R-module N. We prove that every left R-module has aspecial m-projective precover and a special m-injective preenvelope. We characterize C-rings, SF ringsand max-hereditary rings using m-projective and m-injective modules. | |
| dc.identifier.doi | 10.36753/MATHENOT.630031 | |
| dc.identifier.endpage | 50 | |
| dc.identifier.issn | 2147-6268 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 46 | |
| dc.identifier.trdizinid | 400244 | |
| dc.identifier.uri | https://doi.org/10.36753/MATHENOT.630031 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/400244 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/4945 | |
| dc.identifier.volume | 8 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Mathematical Sciences and Applications E-Notes | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | Matematik | |
| dc.title | On M-injective and M-projective Modules | |
| dc.type | Article |
