Gorenstein injective filtrations over rings with dualizing complexes
Commutative Algebra
2025-03-26 v4
Abstract
Let be a commutative noetherian ring. Enochs and Huang [EH] proved that over a Gorenstein ring of Krull dimension , 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.
Cite
@article{arxiv.2401.07987,
title = {Gorenstein injective filtrations over rings with dualizing complexes},
author = {Reza Sazeedeh},
journal= {arXiv preprint arXiv:2401.07987},
year = {2025}
}