On Vanishing of Generalized Local Cohomology Modules Page 1 Algebra Colloquium c© 2005
AMSS CAS & SUZHOU UNIV Algebra Colloquium 12:2 (2005) 213–218 On Vanishing of …

This paper is concerned with a finitely generated module M over a (commutative
Noetherian) local ring R. In the case when R is a homomorphic image of a Gorenstein local …

R. Sazeedeh showed that top local cohomology modules are Gorenstein injective in a
Gorenstein local ring with at most two dimensions. In this paper, it is proved that the …

Let (R, m) denote an n-dimensional Gorenstein ring. For an ideal I⊂ R of height c we are
interested in the endomorphism ring B= HomR (HIc (R), HIc (R)). It turns out that B is a …

Let (R, 𝔪) be a commutative Noetherian local ring, which is a homomorphic image of a
Gorenstein local ring and I an ideal of R. Let M be a nonzero finitely generated R-module …

Let (R, m) be a commutative Noetherian complete local ring and let M be a non-zero Cohen-
Macaulay R-module of dimension n. It is shown that,(i) if projdim R (M)<∞, then injdim …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is shown
that a finitely generated R-module M with finite GC-dimension is C-reflexive if and only if M 𝔭 …

Let A be a commutative local Noetherian ring with identity of Krull dimension n, m its
maximal ideal. Sharp has proved that if A is Cohen-Macauley and a homomorphic image of …

On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules Page 1 Canad. Math.
Bull. Vol. (), pp. – http://dx.doi.org/. /CMB---x ©Canadian Mathematical Society On Flat and …

The concept of Faltings' local–global principle for the in dimension< n of local cohomology
modules over a Noetherian ring R is introduced, and it is shown that this principle holds at …