In this article, we present a generalization of injective modules using e-exact sequences
introduced by Akray (Commun Korean Math Soc 35 (2), 469–480, 2020), naming it e …

In this article, we give a generalization to injective modules by using $ e $-exact sequences
introduced by Akray in [1] and name it $ e $-injective modules and investigate their …

It is our intention in this research generalized some concept in local cohomology such as
contravarint functor $ ext $, covariant functor $ Ext $, covarian functor $ Tor $ and ideal …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\fa $ an ideal of $ R $,
and $ X $ an $ R $--module. In this paper, for fixed integers $ s, t $ and a finite $\fa $--torsion …

Let $ R $ be a commutative ring with identity. Let $ R $ be an integral domain and $ M $ a
torsion-free $ R $-module. We investigate the relation between the notion of e-exactness …

We introduce and investigate in this paper a kind of Tate homology of modules over a
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …

This thesis has its foundations in the fields of homological and commutative algebra, in
particular in the study of local cohomology. Local cohomology was introduced by …

We introduce the notions of Koszul N-complex, Čech N-complex and telescope N-complex,
explicit derived torsion and derived completion functors in the derived category DN (R) of N …

Let R be a commutative Noetherian ring with non-zero identity, FF a filtration of Spec (R)
Spec (R) which admits an R-module X, and C _R (F, X) CR (F, X) the Cousin complex for X …

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 …