… modules with respect to a semidualizing bimodule In this section, we introduce and investigate
properties of the totally reflexive module with respect to a semidualizing bimodule SCR …

… In this paper, we prove that the Bass class BC (S) with respect to a semidualizing bimodule
C contains all FP-injective S-modules. We introduce the definition of C-FPinjective modules, …

… of such modules and the structure of the entire set of isomorphism classes of semidualizing
R-modules, … First, taking our cues from [9], we describe the semidualizing modules over a …

… of modules. When S C R is a faithfully semidualizing bimodule, we study the Foxby …
between the subclasses of the Auslander class and that of the Bass class with respect to C. …

… Let R and S be rings and S CR a faithfully semidualizing bimodule. A left S-module M is
called Ding C-projective if there exists an exact sequence of C-projective left S-modules …

… a faithfully semidualizing bimodule, we give some equivalent characterizations of left n-coherent
rings in terms of C-FP n -flat left S-modules and C-FP n -injective left R-modules. Finally, …

… a semidualizing bimodule. All R- or S-modules are understood to be left R- or S-modules. …
Theorem 1.1 Let SCR be a faithfully semidualizing bimodule and na non-negative integer. …

… dimensions with respect to a semidualizing bimodule (see Corollaries 2.7 and 2.9). …
XG Yan, Totally reflexive modules with respect to a semidualizing bimodule, Czech. Math. J. …

… a semidualizing bimodule SCR over two-sided Noetherian rings, we study C -transpose and
n-C -torsionfree modules… In section 4, for a semidualizing bimodule SCR and a module A ∈ …

… C-injective module to that of C-FP-injective module, where S CR is a semidualizing bimodule
over … properties of C-FPinjective modules. Then we study right C-FP-injective dimension of …