Gorenstein W-projective Modules With Respect To A Semidualizing Module

Let W be a class of modules between PC(R)and BC(R),i.e.,PC(R)(?)W (?)BC(R),where PC(R)and BC(R)denote the class of projective modules and Bass related to a semidualizing module,respectively.In this thesis,we introduce the notion of CGorenstein W-projective modules,and prove that GC(W)is projectively resolving.As applications,we give the notion of GC(W)-dimension and discuss some properties of GC(W)-dimension.Moreover,we study the relationship between GC(W)-dimension and the strict GC(W)-resolution.