Gorenstein injective filtrations over rings with dualizing complexes
Abstract
Let $R$ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a Gorenstein ring of Krull dimension $d$, every Gorenstein injective module admits a finite filtration of Gorenstein injective submodules. In this paper, we extend this result to rings admitting a dualizing complex and we provide such filtrations using Auslander categories and section functors.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2024
- DOI:
- 10.48550/arXiv.2401.07987
- arXiv:
- arXiv:2401.07987
- Bibcode:
- 2024arXiv240107987S
- Keywords:
-
- Mathematics - Commutative Algebra;
- 13D02;
- 13D09;
- 13D45