A new version of P-flat modules and its applications
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929436893380608 |
|---|---|
| author | Qi, Wei Zhang, Xiaolei |
| author_facet | Qi, Wei Zhang, Xiaolei |
| contents | In this paper, we introduce and study the class of $ϕ$-$w$-P-flat modules, which can be seen as generalizations of both $ϕ$-P-flat modules and $w$-P-flat modules. In particular, we obtain that the class of $ϕ$-$w$-P-flat modules is covering. We also utilize the class of $ϕ$-$w$-P-flat modules to characterize $ϕ$-von Neumann regular rings, strong $ϕ$-rings and $ϕ$-PvMRs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17865 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new version of P-flat modules and its applications Qi, Wei Zhang, Xiaolei Commutative Algebra In this paper, we introduce and study the class of $ϕ$-$w$-P-flat modules, which can be seen as generalizations of both $ϕ$-P-flat modules and $w$-P-flat modules. In particular, we obtain that the class of $ϕ$-$w$-P-flat modules is covering. We also utilize the class of $ϕ$-$w$-P-flat modules to characterize $ϕ$-von Neumann regular rings, strong $ϕ$-rings and $ϕ$-PvMRs. |
| title | A new version of P-flat modules and its applications |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2407.17865 |