Several authors have studied the filtered colimit closure \varinjlimB of a class B of finitely
presented modules. Lenzing called \varinjlimB the category of modules with support in B …

Let R, S be arbitrary associative rings and RCS a semidualizing bimodule. We give some
equivalent characterizations for R being left coherent (and right perfect) rings, left …

Let R be an associative (not necessary commutative) ring. In this paper, we give some
properties of Hom-faithful and Hom-cofaithful R-modules. We investigate Σ-self-orthogonal R …

It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …

Let (R, m) be ad-dimensional commutative complete Noetherian local ring and Λ be a
Noetherian R-algebra. Motivated by the notion of Cohen–Macaulay Artin algebras of …

In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …

Let R be a semiperfect commutative Noetherian ring with identity and C, S be semidualizing
R-modules. We study the theory of linkage with respect to S for modules of finite GC …

A NOTE ON CARTAN-EILENBERG GORENSTEIN CATEGORIES Bo Lu*, Wei Ren and
Zhongkui Liu Abstract 1. Introduction A generalization of c Page 1 B. LU, W. REN AND Z. LIU …

Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …

This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …