… injective modules is introduced, where C is a semidualizing module. Using these modules we
… of GC-projective and injective modules, similar to the one of projective modules by the free …

… semi-dualizing bimodules, which we introduce in this paper to generalize semi-dualizing
modules … The advantage to consider an (R, S)-bimodule structure on a semi-dualizing module …

… of \(\infty \)-tilting theory in [25] and applied to pseudo-dualizing complexes of bimodules
in [23]. The latter are otherwise known as “semi-dualizing complexes” in the literature [2, 12]. …

… Wakamutsu was interested in the bimodules BTA where A and B are commutative local and
Artin rings satisfying two properties. In the case of A = B, these properties would match the …

… ring with C a semidualizing (S, R)-bimodule. It is proven that (1) A left S-module M in
Bass … setting with respect to a semidualizing module C. For example, C-torsionless (C-reflexive) …

… Let C be a semidualizing module. We first investigate the properties of finitely generated
GC … that C is a semidualizing R-module. Recall from [15] that an R-module M is called GC-…

… In what follows, we assume that C = S CR is a faithfully semidualizing bimodule. Note that
all semidualizing modules are faithfully semidualizing over a commutative ring [16, Proposition …

… From a suitably nice (axiomatically described) class \({\mathcal {S}}\) of objects in such an
abstract module category \({\mathscr {C}}\), we define a notion of semi-flatness (with respect to \…

… An (R,S)-bimodule C is a semidualizing module if the … Noetherian ring and C is a semidualizing
R-module. … that R is a commutative Noetherian ring and C is a semidualizing R-module. …

… modules of finite projective dimension [16, Cor. 7.1.5], [4, Th. 1.3.3]. We show that a theory
based on semidualizing modules … We want to show that C/xC is a semidualizing module over …