Let 𝔞 be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …

Let R be a Gorenstein complete local ring. We say that finitely generated modules M and N
are linked if Hom R/λ ̄ R (M, R/λ ̄ R)≅ Ω R/λ ̄ R1 (N), where λ ̄ is a regular sequence …

We provide a simple proof for a recent result of Bravo, Gillespie and Hovey, showing that
over a left coherent ring for which the projective dimension of at right modules is finite, the …

There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …

Let R be a commutative Noetherian ring and let I be an ideal of R. In this paper, we study the
amalgamated duplication ring R⋈ I which is introduced by D'Anna and Fontana. It is shown …

We show that if $ M $ and $ N $ are Matlis reflexive modules over a complete Gorenstein
local domain $ R $ and $ I $ is an ideal of $ R $ such that the dimension of $ R/I $ is one …

R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

In the language of local algebra, the classical purity of branch locus theorem states that a
module finite ring extension of local normal domains $ B\to A $ which is unramified in …

Let A be a noetherian commutative ring which is a homomorphic image of a Gorenstein ring.
The first result in this note is that A is a Cohen-Macaulay ring if and only if every finitely …

In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …