Let R be a commutative ring and C a semidualizing R-module. In this article, we introduce
and investigate the notion of DC-projective complexes. We first prove that a complex X is DC …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …

In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …

Let R and S be rings and RCS a semidualizing bimodule, and let T be a subcategory of the
Auslander class AC (S) and H={C⊗ ST| T∈ T}. Then for any left R-module M, the T …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …

In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …

Let C be a semidualizing module for a commutative ring R. It is shown that the-injective
dimension has the ability to detect the regularity of R as well as the-projective dimension. It …

The main aim of this paper is to determine how far a module is from tilting or cotilting. With
this in mind, we introduce T mn-injective modules and T mn-projective modules for any non …

The main purpose of this thesis is to study R-projectivity and max-projectivity of some
classes of modules, and module classes related to max-projective modules. A right R …

In this paper, for a xed semidualizing bimodule C= S CR, we introduce the notion of strongly
WP-Gorenstein modules and give the foxby equivalence between the categories of DP …