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 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) …

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 commutative Noetherian ring. We consider the question of when n-syzygy
modules over R are n-torsionfree in the sense of Auslander and Bridger. Our tools include …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\fa $ an ideal of $ R $,
and $ X $ an $ R $--module. In this paper, for fixed integers $ s, t $ and a finite $\fa $--torsion …

Let Λ be a left and right Noetherian ring. For a positive integer k, we give an equivalent
condition that flat dimensions of the first k terms in the minimal injective resolution of Λ are …

It is known that if R is a ring with identity, and S and A op are the functor rings associated to
the categories Mod (R) and Mod (R op), respectively, then there is a duality between the …

Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …

Extension closure of relative syzygy modules Page 1 Vol. 46 No. 5 SCIENCE IN CHINA (Series
A) September 2003 Extension closure of relative syzygy modules HUANG Zhaoyong ( ¢¡) …