arXiv:math/0703124v1 [math.AC] 5 Mar 2007 Page 1 arXiv:math/0703124v1 [math.AC] 5 Mar
2007 Local Cohomology and Matlis duality – Table of contents 0Introduction …

Let aa be an ideal of a commutative Noetherian ring R and M a finitely generated R-module.
It is shown that\rm Ann _R (H_ a^\rm dim M (M))=\rm Ann _R (M/T_R (a, M)) Ann R (H a dim …

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≥ …

Let $(R,{\mathfrak {m}}) $ be a commutative Noetherian local ring, and let $ I $ and $ J $ be
two proper ideals of $ R $. Let $ M $ be a non-zero finitely generated $ R-$ module. We …

In this paper, we prove the Grothendieck's Vanishing Theorem for finitely generated ideals
over almost Dedekind domains and show that there exists a non-finitely generated prime …

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 …

Let $\frak a $ denote an ideal in a commutative Noetherian ring $ R $ and $ M $ a finitely
generated $ R $-module. In this paper, we introduce the concept of the cohomological …

Let\mathfrak a,\mathfrak ba, b be ideals of a commutative Noetherian ring RR and let M, NM,
N be finite R R-modules. The concept of an\mathfrak a a-filter grade of\mathfrak bb on MM is …

Abstract Let (R, m)(R, m) be a local ring and M a finitely generated R-module. It is shown that
if M is relative Cohen–Macaulay with respect to an ideal aa of R, then Ann _R (H_ a^ cd (a …

Let R be a (not necessarily local) Noetherian ring and M a finitely generated R-module of
finite dimension d. Let a be an ideal of R and M denote the intersection of all prime ideals p …