On MF-projective modules
| dc.authorid | alagoz, yusuf/0000-0002-2535-4679 | |
| dc.contributor.author | Alagoz, Yusuf | |
| dc.date.accessioned | 2024-12-24T19:30:17Z | |
| dc.date.available | 2024-12-24T19:30:17Z | |
| dc.date.issued | 2021 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, we study the left orthogonal class of max-flat modules which are the homological objects related to s-pure exact sequences of modules and module homomorphisms. Namely, a right module A is called MF-projective if Ext(R)(1) (A, B) = 0 for any max-flat right R-module B, and A is called strongly MF-projective if Ext(R)(1 )(A, B) = 0 for all max-flat right R-modules B and all i >= 1. Firstly, we give some properties of MF-projective modules and SMF-projective modules. Then we introduce and study MF-projective dimensions for modules and rings. The relations between the introduced dimensions and other (classical) homological dimensions are discussed. We characterize some classes of rings such as perfect rings, QF rings and max-hereditary rings by (S)MF-projective modules. We also study the rings whose right ideals are MF-projective. Finally, we characterize the rings whose MF-projective modules are projective. | |
| dc.identifier.doi | 10.15672/hujms.731098 | |
| dc.identifier.endpage | 482 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85098793545 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 471 | |
| dc.identifier.trdizinid | 492885 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.731098 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/492885 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/7467 | |
| dc.identifier.volume | 50 | |
| dc.identifier.wos | WOS:000640069900015 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Hacettepe Univ, Fac Sci | |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | (max-)flat modules | |
| dc.subject | MF-projective modues | |
| dc.subject | max-hereditary rings | |
| dc.title | On MF-projective modules | |
| dc.type | Article |
