… ness condition for coassociated primes if the set of coassociated primes of any its submodule
is … i ðMÞ satisfies the finiteness condition for coassociated primes for all i < t, then the set …

… Melkersson, Cofiniteness and coassociated primes of local cohomology modules, Math. …
Yassemi, Attached primes of the top local cohomology modules with respect to an ideal, Arch. …

Let a be an ideal of Noetherian ring R and M a finitely generated R-module such that cd ( a ,
M ) = c . In this paper, we investigate Att R ( H a c ( M ) ) . Among other things, it is shown that …

… We denote the set of attached primes of A by AttR A. This definition agrees with the usual
definition of … characterization of the attached primes of the local cohomology module Hdim M−1 …

… The main result of this paper is Theorem 3.10, which describes the attached primes of top
local cohomology modules in derived categories. Let (R,m) be a local ring, a specialization …

… primes of top local cohomology modules with respect to a system of ideals of R. We will
extend some results on the attached primes of Dibaei, Yassemi [13] and Atazadeh et. al. [4, 5]. …

Let $ I $ and $ J $ be two ideals of a commutative Noetherian ring $ R $ and $ M $ be an $
R $-module of dimension $ d $. For each $ i\in N_0 $ let $ H^{i} _ {I, J}(-) $ denote the $ i $-th …

… Lynch’s conjecture and the set of the attached primes of the top local cohomology module
\(H_{… Among other things, we will provide a complete characterization of the attached primes of …

… For an Rmodule M, we show the set of minimal members of associated primes of M by
mAssR(M). For any unexplained notation and terminology, we refer the reader to [2] and [6]. …

… The concept of coassociated primes of complexes is introduced in the last section, and
an extension of Nakayama lemma is given. In the appendix, we provide a summary of all the …