Abstract
We consider a ring R such that the class of Gorenstein injective modules is closed under direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch(R) if and only if every complex of Gorenstein injective modules is dg-Gorenstein injective. In particular, when R is commutative noetherian with a dualizing complex, we obtain the following result: the class of dg-Gorenstein injective complexes is covering if and only if R is Gorenstein.
| Original language | English |
|---|---|
| Pages (from-to) | 19-25 |
| Number of pages | 7 |
| Journal | Acta Mathematica Universitatis Comenianae |
| Volume | 91 |
| Issue number | 1 |
| State | Published - Feb 1 2022 |
Scopus Subject Areas
- General Mathematics
Keywords
- dg-Gorenstein injective complex
- Gorenstein injective module