Gorenstein C-Global Dimension And Strongly Gorenstein C-Flat Modules

Let C be a semi-dualizing module over ring R. In this paper, we mainly inves-tigated Gorenstein C-global dimension and some properties of strongly Gorenstein C-flat modules.Firstly, We prove that the Gorenstein C-global dimension of a commutative ring R is equal to the supremum of the set of GC-projective dimension of all cyclic R-modules. Then we define strongly Gorenstein C-flat modules and dimension, Moreover, we study the strongly Gorenstein C-flat modules under the changes of rings. At last, We get the stability of the strongly Gorenstein C-flat modules.