Research Article
Year 2024,
Early Access, 1 - 14
Abstract
Project Number
12171230, 12271249
References
- [1] H. Bass, The Morita Theorems, Mimeographed Notes. University of Oregon, 1962.
Year 2024,
Early Access, 1 - 14
Abstract
Let $R\ltimes M$ be a trivial extension of a ring $R$ by an $R$-$R$-bimodule $M$. We first study how to construct torsion pairs over $R\ltimes M$ from torsion pairs over $R$. Some characterizations of finitely generated (presented) modules, flat modules and coherent rings relative to a torsion pair over $R\ltimes M$ are obtained. Then we discuss the transfers of torsion pairs over $R\ltimes M$ to $R$. Finally, some applications are given in Morita context rings.
Supporting Institution
NSFC
Project Number
12171230, 12271249
References
- [1] H. Bass, The Morita Theorems, Mimeographed Notes. University of Oregon, 1962.
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Mathematics |
| Authors | |
| Project Number | 12171230, 12271249 |
| Early Pub Date | January 10, 2024 |
| Publication Date | |
| Published in Issue | Year 2024 Early Access |