X-G_c-projective Complexes And X-G_c-Projective Dimension Of Complexes

Let R be a commutative ring,C a semidualizing R-module,and X a class of R-modules.In this dissertation,we first introduce the concept of X-G_C-projective complexes,and characterize the X-G_C-projective property of a complex via the X-G_C-projective property of all its terms.Then with this connection,some properties of X-G_C-projective complexes are investigated via the properties of X-G_C-projective modules.Finally,the notion of X-G_C-projective dimension of complexes is introduced and some characterizations of this dimension are given.