Rings whose RD-flat modules have restricted subflat domains
| dc.contributor.author | Durğun Y. | |
| dc.contributor.author | Bozkurt M. | |
| dc.date.accessioned | 2024-07-22T08:01:33Z | |
| dc.date.available | 2024-07-22T08:01:33Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | A module KR is said to be RL-subflat if for every short exact sequence 0→U→D→L→0 of left R-modules, the sequence 0→K⊗U→K⊗D→K⊗L→0 is exact. The subflat domains of (RD-flat) modules somehow tells us how far (or how close) such a module is from being flat. Every right R-module is subflat relative to all flat left R-modules, and flat modules are the only ones sharing the distinction of being in every single subflat domain. A module is called f-test if it is subflat only to flat modules. Similarly, an RD-flat module is called tf-test if it is subflat only to torsion-free modules. In this paper, we consider two families of rings characterized by their RD-flat modules: those whose finitely presented RD-flat modules are either flat or tf-test (property (P)) and those whose finitely presented RD-flat modules are either torsion-free (flat) or f-test (property (Q)). Structural properties of both classes of rings are studied. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. | |
| dc.identifier.DOI-ID | 10.1007/s12215-023-00928-x | |
| dc.identifier.issn | 0009725X | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/11475 | |
| dc.language.iso | English | |
| dc.publisher | Springer-Verlag Italia s.r.l. | |
| dc.title | Rings whose RD-flat modules have restricted subflat domains | |
| dc.type | Article |