Let (R, m) be a commutative Noetherian local ring of dimension d and I an ideal of R. We
show that the set of associated primes of the local cohomology module HI2 (R) is finite …

Let R be a commutative ring with identity, and let M be an infinite unitary R-module. M is said
to be a Jónsson module provided every proper submodule of M has strictly smaller …

A ring will always mean a commutative ring with unit. Let R be a noetherian ring, M a finitely
generated R-module and N a submodule of M. We denote by MinR (M) the set of all minimal …

We continue the study of modules cofinite with respect to an ideal of a (noetherian
commutative) ring. Hartshorne [8] introduced this class of modules, answering in negative a …

Let (R,m) be a complete Noetherian local ring, I a proper ideal of R and M, N two finitely
generated R-modules such that Supp (N)⊆V(I). Let t≧0 be an integer such that for each …

ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY
MODULES Page 1 ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL …

Let R be a commutative Noetherian ring. We give criteria for flatness of R-modules in terms
of associated primes and torsion-freeness of certain tensor products. This allows us to …

Let R be a commutative Noetherian ring, I and J be two ideals of R and M be an R-module
(not necessary I-torsion). In this paper among other things, it is shown that if dim M≤ 1, then …

Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals Page 1
Canadian Mathematical Bulletin doi:10.4153/CMB-2011-046-8 c©Canadian Mathematical …

Let (R, 𝔪) be a commutative Noetherian local ring, let I be an ideal of R and let M and N be
finitely generated R-modules. Assume that,. First, we give the formula for the attached …