… to a semidualizing module C have been subject of several works as interesting … -projective
dimension of a module and conclude that every module of finite GC-projective dimension has …

… Gorenstein projective dimension with respect to a semidualizing module is equal to the global
Gorenstein … trivial to show that the global Gorenstein projective dimension with respect to a …

… the related finitistic Gorenstein projective dimension of the base … relative setting of this
equality. For this, we define the finitistic projective dimension of R in relative setting with respect to …

… -module has GC -projective dimension at most n if and only if every finitely presented right
R-… the Gorenstein flat and Gorenstein projective dimensions of rings relative to a semidualizing …

… Ring homomorphisms and GC-projective dimensions In this section, the Gorenstein projective
dimension of complexes with respect to a semidualizing module is considered. First, we …

… relative setting with respect to two semidualizing modules C and S. More precisely, for an
R-module M of finite GC-dimension … Every module of finite projective dimension belongs to AC . …

… Gorenstein projective R-modules relative to the Auslander class AC (R) of a semidualizing
(… from the question of how large can the projective dimension of modules over a ring be?. To …

… modules with respect to a semidualizing module C of finite Gorenstein dimension with
respect to another semidualizing … finite projective dimension, then Derk (R) is free as an R-module. …

… all modules are unital. The notion of a “semidualizing module” is a central notion in relative
… ) has many properties of G-dimension (projective dimension). In particular, the Auslander–…

… semidualizing module C with finite injective dimension. … Gorenstein projective dimensions
of all Rmodules and the supremum of the C-Gorenstein injective dimensions of all R-modules …