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arXiv · 1908.02167

On an example concerning the second rigidity theorem

Olgur Celikbas·Hiroki Matsui·Arash Sadeghi
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Abstract

In this paper we revisit an example of Celikbas and Takahashi concerning the reflexivity of tensor products of modules. We study Tor-rigidity and the Hochster--Huneke graph with vertices consisting of minimal prime ideals, and determine a condition with which the aforementioned example cannot occur. Our result, in particular, corroborates the Second Rigidity Theorem of Huneke and Wiegand.

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Olgur Celikbas, Hiroki Matsui, Arash Sadeghi. 2019-08-06. On an example concerning the second rigidity theorem. https://arxiv.org/abs/1908.02167

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