arXiv:1010.2903v1 [math.AC] 14 Oct 2010 Page 1 arXiv:1010.2903v1 [math.AC] 14 Oct 2010
TORSION FUNCTORS OF LOCAL COHOMOLOGY MODULES MOHAMMAD T. DIBAEI1 AND …

Let $ A $ be a Dedekind domain of characteristic zero such that its localization at every
maximal ideal has mixed characteristic with finite residue field. Let $ R= A [X_1,\ldots, X_n] …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\mathfrak {a} $ and
$\mathfrak {b} $ ideals of $ R $ with $\mathfrak {a}\subseteq\mathfrak {b} $, and $ M $ a …

Let ℱ 𝒫∞ R be the class of all left R-modules M which has a projective resolution by finitely
generated projectives. An exact sequence 0→ A→ B→ C→ 0 of right R-modules is called …

Let I be an ideal of a commutative Noetherian ring R such that the R-modules HI i (M) are I-
cofinite, for all finitely generated R-modules M and all i∈ ℕ 0. Let M and N be two I-cofinite R …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\mathfrak {a} $ an ideal
of $ R $, $ M $ a finitely generated $ R $--module, and $ X $ an arbitrary $ R $--module. In …

In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …

The Theory of Local Homology for Artinian Modules Page 1 Southeast Asian Bulletin of
Mathematics (2000) 24: 31–40 Southeast Asian Bulletin of Mathematics c Springer-Verlag 2000 …

The notion of quasi-exact sequence of modules was introduced by B. Davvaz and coauthors
in 1999 as a generalization of the notion of exact sequence. In this paper we investigate …