1 citations · 2 across the 7 of their papers we have counts for
7 papers
Mutations of ordinary torsion theories and generalized torsion theories connected by a Serre subcategory
Takeshi Yoshizawa
Understanding how torsion theories are described and constructed is crucial to the study of torsion theory. Mutations of torsion theories have been studied as a method of construct…
Annihilators of local cohomology modules via a classification theorem of the dominant resolving subcategories
Takeshi Yoshizawa
This paper investigates when local cohomology modules have an annihilator that does not depend on the choice of an ideal. Takahashi classified the dominant resolving subcategories…
Melkersson conditions with respect to a prime ideal
Takeshi Yoshizawa
Aghapournahr and Melkersson introduced the notion of Melkersson condition on a Serre subcategory of the module category over a commutative noetherian ring. This paper investigates…
An example of Melkersson subcategory which is not closed under injective hulls
Takeshi Yoshizawa
The Melkersson subcategory is a special Serre subcategory. It was proved that a Serre subcategory which is closed under injective hulls is a Melkersson subcategory. However, it has…
Subcategories of extension modules by Serre subcategories
Takeshi Yoshizawa
In this paper, we consider subcategories consisting of the extensions of modules in two given Serre subcategories to find a method of constructing Serre subcategories of the catego…
Abstract local cohomology functors
Yuji Yoshino, Takeshi Yoshizawa
We propose to define the notion of abstract local cohomology functors. The derived functors of the ordinary local cohomology functor with support in the closed subset defined by an…