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The Torsion Theory and the Melkersson Condition.
- Source :
- Czechoslovak Mathematical Journal; Mar2020, Vol. 70 Issue 1, p121-145, 25p
- Publication Year :
- 2020
-
Abstract
- We consider a generalization of the notion of torsion theory, which is associated with a Serre subcategory over a commutative Noetherian ring. In 2008 Aghapournahr and Melkersson investigated the question of when local cohomology modules belong to a Serre subcategory of the module category. In their study, the notion of Melkersson condition was defined as a suitable condition in local cohomology theory. One of our purposes in this paper is to show how naturally the concept of Melkersson condition appears in the context of torsion theories. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00114642
- Volume :
- 70
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Czechoslovak Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 142341502
- Full Text :
- https://doi.org/10.21136/CMJ.2019.0193-18