Another version of cosupport in D(R)
J Qin, X Yang - Czechoslovak Mathematical Journal, 2023 - Springer
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 …
(R). This is done by introducing 'big'and 'small'cosupport for complexes that are different …
Coartinianness of extension and torsion functors
J Shen, X Yang - Communications in Algebra, 2023 - Taylor & Francis
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 …
investigate coartinianness of Ext and Tor, show that the R-module Ext R i (N, M) is I …
Some splitting theorems for local cohomology modules with respect to a pair of ideals
B Naal, K Khashyarmanesh - Journal of Algebra and its Applications, 2021 - World Scientific
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) …
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
T Nam - Studia Scientiarum Mathematicarum Hungarica, 2013 - akjournals.com
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 …
Scientiarum Mathematicarum Hungarica 50 (1), 129–141 (2013) DOI: 10.1556/SScMath.50.2013.1.1233 …
Generalized local homology and duality
DN Yen, TT Nam - International Journal of Algebra and …, 2019 - World Scientific
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 …
generalization of the local homology theory. By duality, we get some properties of the …
Second representable modules over commutative rings*
J Abuhlail, H Hroub - Communications in Algebra, 2019 - Taylor & Francis
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 …
of second R-submodules (we call them second representable). The class of second …
On the finiteness properties of Matlis duals of local cohomology modules
K Khashyarmansh, F Khosh-Ahang - Proceedings Mathematical Sciences, 2008 - Springer
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) …
radical, a an ideal of R, and M a finitely generated R-module. Let DR (−):= Hom R (−, E) …
[PDF][PDF] Maximal elements of support and cosupport
S Yassemi - 1997 - streaming.ictp.it
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 …
intersection of all maximal elements in support). In the last section, it is proved that the set of …
A local homology theory for linearly compact modules
NT Cuong, TT Nam - arXiv preprint arXiv:0709.1778, 2007 - arxiv.org
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 …
dual to the local cohomology theory of A. Grothendieck. Some basic properties such as the …
[PDF][PDF] THE ARTINIANESS AND (,) IJ-STABLE OF LOCAL HOMOLOGY MODULE WITH RESPECT TO A PAIR OF IDEALS
T TP, H MINH - Science - scholar.dlu.edu.vn
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 …
author used it to study the representation of local homology modules. In this paper, we will …