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 …

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 …

Let R be a commutative ring with identity and M a unital R-module. We give a new
generalization of exact sequences called e-exact sequences. A sequence 0→ A f→ B g→ …

We recover some data of a module $ M $ from the Ext-family $\{\Ext^ i_R (M, R)\} $. In this
regard, we investigate homological subsets of $\Spec (R) $, defined by the help of Ext …

In this research, by using filter regular sequences, we obtain some exact sequences of right
or left derived functors of local cohomology modules. Then we use them to gain some …

Let 𝑅 be a commutative ring with identity, 𝑀 an 𝑅-module and 𝐸 a torsion-free 𝑅-module. A
submodule 𝑁 of 𝑀 is said to be essential (large) in 𝑀 if the intersection of 𝑁 with each …

Let $ M $ be a non-zero finitely generated module over a finite dimensional commutative
Noetherian local ring $(R,\mathfrak {m}) $ with dim $ _R (M)= t $. Let $ I $ be an ideal of $ R …

In this paper, we introduce a generalization of the ordinary ideal transform, denoted by DI, J,
which is called the ideal transform with respect to a pair of ideals (I, J) and has an apparent …

1 Introduction Page 1 East-West J. of Mathematics: Vol. 6, No 2 (2004) pp.173-183 IDEAL
CO-TRANSFORMS OF LINEARLY COMPACT MODULES Tran Tuan Nam Department of …