Model Structures on Categories of Complexes Over Ding-Chen Rings

The so-called Ding–Chen ring is an n-FC ring which is both left and right coherent, and has both left and right self FP-injecitve dimensions at most n for some non-negative integer n. In this article, we introduce the so-called Ding projective, Ding injective complexes, and show that over Ding–Chen rings the homotopy theory on the category of modules can be extended to a homotopy theory on the category of complexes.