Abstract: Let (A,B) be a duality pair in the category of modules. Firstly, the concepts of Cartan-Eilenberg-A and Cartan-Eilenberg-B complexes are introduced. Secondly, it is proven that (C-E(A),C-E(B)) is a duality pair in the category of complexes, where C-E(A) and C-E(B) denote the class of Cartan-Eilenberg-A complexes and Cartan-Eilenberg-B complexes, respectively. Finally, the application of duality pairs to complexes is given.

Key words: duality pair, Cartan-Eilenberg-A complex, Cartan-Eilenberg-B complex