Abstract
This paper contributes to the study of homological aspects of trivial ring extensions (also called Nagata idealizations). Namely, we investigate the transfer of the notion of (Matlis') semi-regular ring (also known as IF-ring) along with related concepts, such as coherence, to trivial ring extensions of integral domains. All along the paper, we provide new families of examples subject to semi-regularity.
| Original language | English |
|---|---|
| Pages (from-to) | 229-241 |
| Number of pages | 13 |
| Journal | Colloquium Mathematicum |
| Volume | 150 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© Instytut Matematyczny PAN, 2017.
Keywords
- Coherent ring
- IF-ring
- Idealization
- Quasi-Frobenius ring
- Semi-regular ring
- Trivial ring extension
- Von Neumann regular ring
ASJC Scopus subject areas
- General Mathematics