Let C be a semidualizing R-module, where R is a commutative ring. We first introduce the
definition of C-cotorsion modules, and obtain the properties of C-cotorsion modules. As …

Let R be a ring. It is reasonable to use a strict 𝒲𝒳-resolution of a right R-module M of finite 𝒳-
projective dimension, where 𝒳 denotes a subcategory of right R-modules closed under …

Let C be a semidualizing R-module over a commutative coherent ring R. In this artical, we
show that if S is a faithfully flat commutative R-algebra such that the class of C⊗ R S …

In this paper we are concerned with absolute, relative and Tate Tor modules. In the first part
of the paper we generalize a result of Avramov and Martsinkovsky by using the Auslander …

Based on the analysis of Tate and generalized Tate cohomology in abelian categories, in
this note, we consider the balance for Tate and generalized Tate cohomology. Some …

In this paper we are concerned with absolute, relative and Tate Tor modules with respect to
a fixed semidualizing module over commutative Noetherian local rings. Motivated by a result …

Let R be a commutative Noetherian ring and C a semidualizing module. Based on a kind of
Tate FC-resolutions of modules constructed by Hu et al., in this paper, we introduce and …

Let R be a commutative Noetherian ring and C a semidualizing module. Based on a kind of
Tate F _C FC-resolutions of modules constructed by Hu et al., in this paper, we introduce …

The purpose of this work is to understand the structure of the subcategories of mod (R) and
the derived category D^ b (R) for a commutative Noetherian ring R. Special focus is given to …