On an example concerning the second rigidity theorem

Autor:	Celikbas, Olgur, Matsui, Hiroki, Sadeghi, Arash
Rok vydání:	2019
Předmět:	Mathematics - Commutative Algebra
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.02167 Zobrazit plný text záznamu View this record from Arxiv