2019/08/06 by Celikbas, Olgur, Matsui, Hiroki, Sadeghi, Arash
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1908.02167
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.