… 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 …

… 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. …

… Moreover, when C is a semidualizing (S, R)-bimodule, we study the … modules and the
torsionfree modules in terms of Foxby equivalence. Finally, as the ∞-C-torsionfree module which is …

… modules over (possibly non-Noetherian) commutative rings, where C is a semidualizing
module… This extends Holm and J0rgensen's notion of C-Gorenstein projective modules to the …

… of semidualizing modules over artinian rings … of semidualizing modules of special form. For
rings with m3 = 0 this condition reduces to the existence of a nontrivial semidualizing module …

… 3.1], we have that any semidualizing bimodule over a commutative ring is faithful. The
following example illustrates that there exist sufficiently many (faithful) semidualizing bimodules. …

… -FP-injective R-modules, denoted by GFIC(R). If SCR is a faithfully semidualizing bimodule,
we … and the category of GC-injective R-modules is exactly the category of GC-FP-injective R-…

… 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 …

… relative to a semidualizing module (see [14, … is semidualizing as a module over itself, and
if R is a Cohen–Macaulay ring admitting a canonical module, say ωR, then ωR is semidualizing …