Ding Projective N-Complexes

We investigate homological property and stability of Ding projective N-complexes and the Ding projective dimension of N-complexes.We prove that an N-complex X is Ding projective if and only if each degree of X is a Ding projective module and f:X?H is null-homotopic for any flat N-complex H.The stability of the class of Ding projective N-complexes are explored.Lastly,we introduce the Ding projective dimension of N-complexes.