The goal of the article is to develop a theory dual to that of support in the derived category D
(R). This is done by introducing 'big'and 'small'cosupport for complexes that are different …

Let (R, m) be a commutative noetherian local ring with m-adic topology, I an ideal of R. We
investigate coartinianness of Ext and Tor, show that the R-module Ext R i (N, M) is I …

Suppose that R is a commutative ring with identity, I, J are ideals of R, and let M be a finitely
generated R-module. Let HI, J i (−) be the i th local cohomology functor with respect to (I, J) …

Some properties of local homology and local cohomology modules Page 1 Studia
Scientiarum Mathematicarum Hungarica 50 (1), 129–141 (2013) DOI: 10.1556/SScMath.50.2013.1.1233 …

We study the generalized local homology for linearly compact modules which is a
generalization of the local homology theory. By duality, we get some properties of the …

Let R be a commutative ring. We investigate R-modules which can be written as finite sums
of second R-submodules (we call them second representable). The class of second …

Let R be a complete semi-local ring with respect to the topology defined by its Jacobson
radical, a an ideal of R, and M a finitely generated R-module. Let DR (−):= Hom R (−, E) …

We introduce a set that is tightly closed to the set of the Jacobson radical of module (the
intersection of all maximal elements in support). In the last section, it is proved that the set of …

We introduce a local homology theory for linearly compact modules which is in some sense
dual to the local cohomology theory of A. Grothendieck. Some basic properties such as the …

The concept of I-stable modules was defined by Tran Tuan Nam (Tran, 2013), and the
author used it to study the representation of local homology modules. In this paper, we will …