Vanishing of Tare Homology -- An Application of Stable Homology for Complexes
It has been proved that the vanishing of Tare homology is a sufficient condition for the derived depth formula to hold in [J. Pure Appl. Algebra, 219, 464-481 （2015）]. In this paper, we inves- tigate when Tate homology vanishes by studying the stable homology theory for complexes. Properties such as...
Gespeichert in:
| Veröffentlicht in: | 数学学报：英文版 2016 (7), p.831-844 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | It has been proved that the vanishing of Tare homology is a sufficient condition for the derived depth formula to hold in [J. Pure Appl. Algebra, 219, 464-481 （2015）]. In this paper, we inves- tigate when Tate homology vanishes by studying the stable homology theory for complexes. Properties such as the balancedness and vanishing of stable homology for complexes are studied. Our results show that the vanishing of this homology can detect finiteness of homological dimensions of complexes and regularness of rings. |
|---|---|
| ISSN: | 1439-8516 1439-7617 |