Abstract
We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for complexes; we also define a generalized Tate cohomology for complexes over Gorenstein rings, and we show that there is a close connection between the absolute, the Gorenstein and the generalized Tate cohomology.
| Original language | English |
|---|---|
| Pages (from-to) | 817-842 |
| Number of pages | 26 |
| Journal | Kyoto Journal of Mathematics |
| Volume | 49 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2009 |
Scopus Subject Areas
- General Mathematics