Comparisons Between Annihilators of Tor and Ext | Acta Mathematica Vietnamica Skip to main
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Let aa be an ideal of a commutative Noetherian ring R and t be a nonnegative integer. Let M
and N be two finitely generated R-modules. In certain cases, we give some bounds under …

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, 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 …

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 …

In this paper, unless otherwise indicated, we shall not assume that our rings are
commutative, but we shall always assume that every ring has an identity element. By a …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\mathfrak {a} $ and
$\mathfrak {b} $ ideals of $ R $ with $\mathfrak {a}\subseteq\mathfrak {b} $, and $ M $ a …

We characterize a ring over which every left module of finite length has an injective hull of
finite length. Using this, we show that finite normalizing extensions of such a ring also have …

Some Results on Locally Noetherian Modules and Locally Ar- tinian Modules Page 1
KYUNGPOOK Math. J. 58(2018), 1-8 https://doi.org/10.5666/KMJ.2018.58.1.1 pISSN 1225-6951 …

Let A be a bounded hereditary Noetherian prime ring. For an A-module MA, we prove that M
is a finitely generated projective A\left/A r\left (M\right)\right.\kern-\nulldelimiterspace r\left …