VANISHING OF EXT MODULES OVER COHEN–MACAULAY RINGS 1. Introduction We refer
the reader to [10] (arXiv:2106.08583) for details Page 1 VANISHING OF EXT MODULES OVER …

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 …

Abstract The Auslander-Reiten conjecture is a notorious open problem about the vanishing
of Ext modules. In a Cohen-Macaulay complete local ring R with a parameter ideal Q, the …

This paper studies vanishing of Ext modules over Cohen–Macaulay local rings. The main
result of this paper implies that the Auslander–Reiten conjecture holds for maximal Cohen …

In this paper, sufficient conditions for finitely generated modules over a commutative
noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the …

The celebrated Auslander-Reiten Conjecture, on the vanishing of self extensions of a
module, is one of the longstanding conjectures in ring theory. Although it is still open, there …

Let R be a Cohen-Macaulay local ring of dimension d with canonical module ωR. In this
article we extend Auslander-Reiten duality theorem to certain R-algebras. As a …

We discuss vanishing of cohomology of finite modules over Cohen-Macaulay local rings
$(R,\mathfrak m) $. Special attention is given to the case when the modules are annihilated …

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We prove two theorems on the vanishing of Ext over commutative Noetherian local rings.
Our first theorem shows that, over non-regular Cohen-Macaulay local domains, there are no …