… projective module, we characterize the Auslander class with respect to a semidualizing module
… Particularly, add ( R R ) is the class of all finitely generated projective right R-modules. It …

… of semidualizing modules, which are common generalizations of dualizing modules and
finitely generated projective modules of … the definition of the semidualizing module to a pair of …

… A semidualizing module C induces some interesting classes … finitely presented and admits
a degreewise finitely generated … C-projective modules are always C-Gorenstein projective, we …

… For example, if the projective dimension of each finitely generated R-module is finite, then R
… Under the assumption, X admits a resolution by finitely generated projective modules, say P. …

… projective modules with semidualizing ones and then resolving by modules which are totally
reflexive with respect … which we only consider finitely generated modules. This section deals …

… to the semidualizing module C, which answer the question … Also, we prove that the class
of all SGC projective modules is … limit of finitely generated SGC-flat R-modules is SGC-flat. …

… a fixed semidualizing module C, we introduce the notion of D-projective modules which are
… of so-called G-dimension for finitely generated modules over commutative Noetherian rings. …

… ; that is a finitely generated R-module C is semidualizing if the natural homothety map R …
(b) This is similar to the proof of (a), using the fact that the class of R-projective modules is …

… modules and finitely generated projective modules of rank one. Christensen [3] defined
semidualizing … Further, White introduced in [15] the GC-projective modules and gave a functorial …

… where each Pi is a finite (ie finitely generated) projective R–module. The width of such a
C–… C denotes a semidualizing (R, R)–bimodule. The following class of modules is already …