Max-projective modules
| dc.authorid | alagoz, yusuf/0000-0002-2535-4679 | |
| dc.contributor.author | Alagoz, Yusuf | |
| dc.contributor.author | Buyukasik, Engin | |
| dc.date.accessioned | 2024-12-24T19:29:44Z | |
| dc.date.available | 2024-12-24T19:29:44Z | |
| dc.date.issued | 2021 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | Weakening the notion of R-projectivity, a right R-module M is called max-projective provided that each homomorphism f : M -> R/I, where I is any maximal right ideal, factors through the canonical projection pi : R -> R/I. We study and investigate properties of max-projective modules. Several classes of rings whose injective modules are R-projective (respectively, max-projective) are characterized. For a commutative Noetherian ring R, we prove that injective modules are R-projective if and only if R = A x B, where A is QF and B is a small ring. If R is right hereditary and right Noetherian then, injective right modules are max-projective if and only if R = S x T, where S is a semisimple Artinian and T is a right small ring. If R is right hereditary then, injective right modules are max-projective if and only if each injective simple right module is projective. Over a right perfect ring max-projective modules are projective. We discuss the existence of non-perfect rings whose max-projective right modules are projective. | |
| dc.description.sponsorship | [IYTE0279] | |
| dc.description.sponsorship | The authors would like to thank to the referee for the suggestions and comments to improve this final version of the paper. This work is supported by the project. IYTE0279. | |
| dc.identifier.doi | 10.1142/S021949882150095X | |
| dc.identifier.issn | 0219-4988 | |
| dc.identifier.issn | 1793-6829 | |
| dc.identifier.issue | 6 | |
| dc.identifier.uri | https://doi.org/10.1142/S021949882150095X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/7225 | |
| dc.identifier.volume | 20 | |
| dc.identifier.wos | WOS:000649081300004 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publ Co Pte Ltd | |
| dc.relation.ispartof | Journal of Algebra and Its Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | Injective modules | |
| dc.subject | R-projective modules | |
| dc.subject | max-projective modules | |
| dc.subject | QF rings | |
| dc.title | Max-projective modules | |
| dc.type | Article |
