Abstract
Our main goal is to investigate the finiteness of Ext-indices of ring extensions. We discuss some known related conjectures in the literature and observe the relationships among them within large classes of rings. This allows us to present interesting special cases verifying these conjectures. Finally, we tackle questions on the vanishing of Ext-index of trivial extensions of Artinian rings. We put the new results into use to construct new families of examples subject to the Gorenstein or Cohen-Macaulay conditions with finite Ext-index.
| Original language | English |
|---|---|
| Pages (from-to) | 1969-1981 |
| Number of pages | 13 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 52 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2022 |
Bibliographical note
Publisher Copyright:© Rocky Mountain Mathematics Consortium.
Keywords
- AB ring
- Artinian ring
- Cohen-Macaulay ring
- Ext-index
- Gorenstein ring
- complete intersection ring
- locally AB ring
ASJC Scopus subject areas
- General Mathematics
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