An alternative perspective on pure-projectivity of modules
| dc.authorid | DURGUN, YILMAZ/0000-0002-1230-8964 | |
| dc.authorid | alagoz, yusuf/0000-0002-2535-4679 | |
| dc.contributor.author | Alagoz, Yusuf | |
| dc.contributor.author | Durgun, Yilmaz | |
| dc.date.accessioned | 2024-12-24T19:25:06Z | |
| dc.date.available | 2024-12-24T19:25:06Z | |
| dc.date.issued | 2020 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | The study of pure-projectivity is accessed from an alternative point of view. Given modules M and N, M is said to be N-pure-subprojective if for every pure epimorphism g : B -> N and homomorphism f : M -> N, there exists a homomorphism h : M -> B such that gh = f. For a module M, the pure-subprojectivity domain of M is defined to be the collection of all modules N such that M is N-pure-subprojective. We obtain characterizations for various types of rings and modules, including FP-injective and FP-projective modules, von Neumann regular rings and pure-semisimple rings in terms of pure-subprojectivity domains. As pure-subprojectivity domains clearly include all pure-projective modules, a reasonable opposite to pure-projectivity in this context is obtained by considering modules whose pure-subprojectivity domain consists of only pure-projective. We refer to these modules as psp-poor. Properties of pure-subprojectivity domains and of psp-poor modules are studied. | |
| dc.identifier.doi | 10.1007/s40863-020-00191-3 | |
| dc.identifier.endpage | 650 | |
| dc.identifier.issn | 1982-6907 | |
| dc.identifier.issn | 2316-9028 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85092232188 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 631 | |
| dc.identifier.uri | https://doi.org/10.1007/s40863-020-00191-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/6263 | |
| dc.identifier.volume | 14 | |
| dc.identifier.wos | WOS:000575743700002 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer International Publishing Ag | |
| dc.relation.ispartof | Sao Paulo Journal of Mathematical Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | Pure-projective modules | |
| dc.subject | Pure-subprojectivity domains | |
| dc.subject | psp-poor modules | |
| dc.subject | Pure-semisimple rings | |
| dc.title | An alternative perspective on pure-projectivity of modules | |
| dc.type | Article |
