On max-flat and max-cotorsion modules
| dc.authorid | alagoz, yusuf/0000-0002-2535-4679 | |
| dc.contributor.author | Alagoz, Yusuf | |
| dc.contributor.author | Buyukasik, Engin | |
| dc.date.accessioned | 2024-12-24T19:24:24Z | |
| dc.date.available | 2024-12-24T19:24:24Z | |
| dc.date.issued | 2021 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, we continue to study and investigate the homological objects related to s-pure and neat exact sequences of modules and module homomorphisms. A right module A is called max-flat if Tor(1)(R) (A, R/I) = 0 for any maximal left ideal I of R. A right module B is said to be max-cotorsion if Ext(R)(1)(A, B) = 0 for any max-flat right module A. We characterize some classes of rings such as perfect rings, max-injective rings, SF rings and max-hereditary rings by max-flat and max-cotorsion modules. We prove that every right module has a max-flat cover and max-cotorsion envelope. We show that a left perfect right max-injective ring R is QF if and only if maximal right ideals of R are finitely generated. The max-flat dimensions of modules and rings are studied in terms of right derived functors of -circle times-. Finally, we study the modules that are injective and flat relative to s-pure exact sequences. | |
| dc.identifier.doi | 10.1007/s00200-020-00482-4 | |
| dc.identifier.endpage | 215 | |
| dc.identifier.issn | 0938-1279 | |
| dc.identifier.issn | 1432-0622 | |
| dc.identifier.issue | 3 | |
| dc.identifier.scopus | 2-s2.0-85098789791 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 195 | |
| dc.identifier.uri | https://doi.org/10.1007/s00200-020-00482-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/5969 | |
| dc.identifier.volume | 32 | |
| dc.identifier.wos | WOS:000605558800002 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Applicable Algebra in Engineering Communication and Computing | |
| 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 | Max-cotorsion modules | |
| dc.subject | (s-)pure submodule | |
| dc.subject | SP-flat modules | |
| dc.subject | Max-hereditary rings | |
| dc.subject | Quasi-Frobenius rings | |
| dc.title | On max-flat and max-cotorsion modules | |
| dc.type | Article |
