Cartan-Eilenberg Ding projective complexes

Abstract

In this article, Cartan-Eilenberg Ding projective complexes are introduced and investigated. It is shown that a complex C is Cartan-Eilenberg Ding projective if and only if C n and C n /B n (C) are Ding projective in R-Mod for each n ∈ Z when R is a Ding-Chen ring. Some applications are also given.