Our main goal is to investigate the finiteness of Ext-indices of ring extensions. We discuss
some known related conjectures in the literature and observe the relationships among them …

In this paper, we investigate the finiteness of Ext-indices for certain ring extensions. In this
direction, we introduce some conjectures and discuss the relationships among them. We …

Recall that a ring R is a Hilbert ring if any maximal ideal of R [X] contracts to a maximal ideal
of R. The main purpose of this paper is to characterize the prime ideals of a commutative …

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 …

The aim of this survey is to discuss invariants of Cohen-Macaulay local rings that admit a
canonical module. Attached to each such ring R with a canonical ideal C, there are integers …

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 …

We discuss invariants of Cohen-Macaulay local rings that admit a canonical module ω.
Attached to each such ring R, when ω is an ideal, there are integers–the type of R, 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 …

We provide a duality theorem between Ext and Tor modules over a Cohen-Macaulay local
ring possessing a canonical module, and use it to prove some freeness criteria for finite …

Let R be a Cohen–Macaulay local ring with a canonical module. We consider Auslander's
(higher) delta invariants of powers of certain ideals of R. Firstly, we shall provide some …