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arXiv · 2401.07987

Gorenstein injective filtrations over rings with dualizing complexes

Reza Sazeedeh
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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.

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Reza Sazeedeh. 2024-01-15. Gorenstein injective filtrations over rings with dualizing complexes. https://arxiv.org/abs/2401.07987

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