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 …

The aim of this paper is to unify classification theories of torsion classes of finite dimensional
algebras and commutative Noetherian rings. For a commutative Noetherian ring R and a …

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 a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …

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 …

0. Introduction. All rings R are associative with identity and all modules are unitary right R-
modules (unless specified otherwise). Mod-R will denote the category of all right R-modules …

Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated
R-modules. In the present paper, we first provide various sufficient (and necessary) …

Introduction. In this paper, we will prove some results on chain conditions of modules with
respect to an 1ll-natural class, extending several well-known theorems of Golan [5], Miller …

This work clarifies the relationship between the openness of the regular locus of a
commutative Noetherian ring R and the existence of generators for the category of finitely …

In ring theory there are several types of classes of R-modules that are of well known
importance. The hereditary torsion classes are amongst the most popular classes of …