Let $ M $ be a non-zero finitely generated module over a finite dimensional commutative
Noetherian local ring $(R,\mathfrak {m}) $ with dim $ _R (M)= t $. Let $ I $ be an ideal of $ R …

Let R be a commutative Noetherian local ring, I an ideal of R, and let M be a non-zero finitely
generated R-module. In this paper, we establish some new properties of the local …

Let $ R $ be a commutative Noetherian ring, $\fa $ an ideal of $ R $, $ M $ and $ N $ be two
finitely generated $ R $-modules. Let $ t $ be a positive integer. We prove that if $ R $ is …

Let $\frak {a} $ denote an ideal in a commutative Noetherian local ring $(R,\frak {m}) $ and $
M $ a non-zero finitely generated $ R $-module of dimension $ d $. Let $ d:=\dim (M/\frak {a} …

Let I be an ideal of a local commutative noetherian ring (R, m R, m) and M a finitely
generated R-module. We study some properties of the top formal local cohomology module …

Let $\fa $ denote an ideal of a commutative Noetherian ring $ R $ and $ M $ and $ N $ two
finitely generated $ R $-modules with $\pd M<\infty $. It is shown that if $\fa $ is principal or …

Let a and b be two ideals of a commutative Noetherian ring R, M a finitely generated R-
module and i an integer. In this paper we study formal local cohomology modules with …

In this paper, we show some results on the non-vanishing of the generalized local
cohomology modules HI i (M, N). In a Cohen–Macaulay local ring (R, m), we prove, by using …

ASSOCIATED PRIMES OF FORMAL LOCAL COHOMOLOGY MODULES 1. Introduction In
this paper ( R,m) are commutative Noterian local ring wi Page 1 ASSOCIATED PRIMES OF …

Let R be a commutative Noetherian ring, α an ideal of R, and M, N two finitely generated R-
modules. We prove that the generalized local cohomology modules Ht α (M, N) are α …