The Homological Properties Of N-G_C Modules And N-Gorenstein Graded Modules

In this paper,we discusse the homological properties of n-Gorenstein projec-tive(injective)modules with respect to semidualizing modules and n-Gorenstein pro-jective(injective)graded modules.Firstly,we define n-Gorenstein(Ding)projec-tive(injective)modules with respect to semidualizing modules,also,we discusse the homological properties of n-Gorenstein(Ding)projective(injective)modules with respect to semidualizing modules.Secondly,we investigate n-Gorenstein projec-tive(injective)modules and the n-Gorenstein projective(injective)dimension of modules with respect to semidualizing modules under change of rings.Finally,the homological properties of n-Gorenstein graded projective(injective)modules are discussed.