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arXiv · 1807.00380

Two generalizations of Auslander-Reiten duality and applications

Arash Sadeghi·Ryo Takahashi
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Abstract

This paper extends Auslander-Reiten duality in two directions. As an application, we obtain various criteria for freeness of modules over local rings in terms of vanishing of Ext modules, which recover a lot of known results on the Auslander-Reiten conjecture.

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Arash Sadeghi, Ryo Takahashi. 2018-07-01. Two generalizations of Auslander-Reiten duality and applications. https://doi.org/10.1215/00192082-7768744

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