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arXiv · 2106.08583

Maximal Cohen-Macaulay tensor products and vanishing of Ext modules

Kaito Kimura·Yuya Otake·Ryo Takahashi
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Abstract

In this paper, we investigate the maximal Cohen-Macaulay property of tensor products of modules, and then give criteria for projectivity of modules in terms of vanishing of Ext modules. One of the applications shows that the Auslander-Reiten conjecture holds for Cohen-Macaulay normal rings.

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Kaito Kimura, Yuya Otake, Ryo Takahashi. 2022-06-09. Maximal Cohen-Macaulay tensor products and vanishing of Ext modules. https://arxiv.org/abs/2106.08583

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