  Let R be a graded ring and n > 1 an integer. In this paper, We introduce the
notions of Ding n-gr-injective and Ding n-gr-flat modules by using of special
finitely presented graded modules . Then, some properties of Ding
n-gr-injective and Ding n-gr-flat modules are obtained. On n-gr-coherent rings,
we investigate the relationships among Ding n-gr-injective and Ding n-gr-flat
modules and also, we prove that any graded module in R-gr (resp. gr-R) admits
an Ding n-gr-injective (resp. Ding n-gr-flat) cover and preenvelope.
