Let R be a noetherian ring, a an ideal of R, and M an R-module. We prove that for a finite
module M, if\rm H^ i _ a (M) is minimax for all i≥ r≥ 1, then\rm H^ i _ a (M) is artinian for i≥ …

In this note we show that if $ I $ is an ideal of a Noetherian ring $ R $ and $ M $ is a finitely
generated $ R $-module, then for any minimax submodule $ N $ of $ H^{t} _ {I}(M) $ the $ R …

The concept of Faltings' local-global principle for the minimaxness of local cohomology
modules over a commutative Noetherian ring R is introduced, and it is shown that this …

Let $ R $ be a commutative Noetherian ring and $\mathfrak a $ an ideal of $ R $. In this
paper we introduce the concept of $\mathfrak a $-minimax $ R $-modules, and it is shown …

Let R be a commutative Noetherian ring with identity and I an ideal of R. It is shown that, if M
is a non-zero minimax R-module such that dim Supp HI i (M)⩽ 1 for all i, then the R-module …

Let R be a commutative Noetherian ring, I an ideal of R. Let t∈ ℕ 0 be an integer and M an
R-module such that Ext R i (R/I, M) is minimax for all i⩽ t+ 1. We prove that if HI i (M) is FD⩽ 1 …

MINIMAXNESS AND FINITENESS PROPERTIES OF FORMAL LOCAL COHOMOLOGY
MODULES Shahram Rezaei Abstract 1. Introduction Throughout this Page 1 S. REZAEI KODAI …

Let R be a commutative Noetherian ring, I, J be two ideals of R, M be an R-module and SS
be a Serre class of R-modules. A positive answer to the Huneke's conjecture is given for a …

Let R be a commutative Noetherian ring, a an ideal of R, and let M be a finitely generated R-
module. For a non-negative integer t, we prove that H_ a^ t (M) is a-cofinite whenever H_ a …

Let R be a commutative Noetherian ring, a an ideal of R, and M a minimax R-module. We
prove that the local cohomology modules Hj a (M) are a-cominimax; that is, Exti R (R/a, Hj a …