Let R be a quotient ring of a commutative coherent regular ring by a finitely generated ideal.
Hovey gave a bijection between the set of coherent subcategories of the category of finitely …

Let $ R $ be the quotient of a regular coherent commutative ring by a finitely generated
ideal. In this paper, we classify all abelian subcategories of finitely presented $ R $-modules …

For R a commutative Noetherian ring, wide and Serre subcategories of finitely generated R-
modules have been classified by their support. This paper studies general torsion classes …

Let $ A $ be a commutative noetherian ring. In this paper, we interpret localizing
subcategories of the derived category of $ A $ by using subsets of Spec $ A $ and …

Given a commutative coherent ring $ R $, a bijective correspondence between the thick
subcategories of perfect complexes $\mathcal D_ {\operatorname {per}}(R) $ and the Serre …

For a commutative noetherian ring A, we compare the support of a complex of A-modules
with the support of its cohomology. This leads to a classification of all full subcategories of A …

Let R be a commutative Noetherian ring. Denote by mod R the category of finitely generated
R-modules. In this paper, we study dominant resolving subcategories of mod R. We …

A Serre class in an abelian category is a nonempty subclass J> of cĄ closed under
subobjects, quotient objects, and extensions. Th importance of such classes stems from the …

Contravariantly finite resolving subcategories of the category of finitely generated modules
have been playing an important role in the representation theory of algebras. In this paper …

Let $ R $ denote a commutative Noetherian (not necessarily local) ring and $ I $ an ideal of
$ R $ of dimension one. The main purpose of this paper is to generalize, and to provide a …