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 …

In this paper we study homological dimensions of finitely generated modules over
commutative Noetherian local rings, called reducing homological dimensions. We obtain …

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 …

In this paper, motivated by a work of Luk and Yau, and Huneke and Wiegand, we study
various aspects of the cohomological rigidity property of tensor product of modules over …

Let $ R $ be a commutative noetherian local ring and denote by $\operatorname {mod} R $
the category of finitely generated $ R $-modules. In this paper, we give some evaluations of …

The purpose of this work is to study commutative Noetherian rings by studying certain
subcategories of the category of finitely generated modules over such rings. We begin by …

Let X be an additive full subcategory of an abelian category. It is a classical fact that if X is
contravariantly finite, then the category modX of finitely presented right X-modules is …

Let R be a commutative noetherian local ring. Denote by mod R the category of finitely
generated R-modules. The concept of the radius of a full subcategory of mod R has been …