On an example concerning the second rigidity theorem
Commutative Algebra
2019-08-07 v1
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.
Cite
@article{arxiv.1908.02167,
title = {On an example concerning the second rigidity theorem},
author = {Olgur Celikbas and Hiroki Matsui and Arash Sadeghi},
journal= {arXiv preprint arXiv:1908.02167},
year = {2019}
}
Comments
8 pages