- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 1
- Cartan-Eilenberg Ding projective complexes
Cartan-Eilenberg Ding projective complexes
Authors : Bo Lu, Zhongkui Liu
Pages : 362-370
Doi:10.15672/hujms.552221
View : 7 | Download : 3
Publication Date : 2020-02-06
Article Type : Research
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 $C_n/\mathrm{B}_n(C)$ are Ding projective in $R$-$\mathrm{Mod}$ for each $n\in\mathbb{Z}$ when $R$ is a Ding-Chen ring. Some applications are also given.Keywords : Ding projective module, Ding projective complex, Cartan-Eilenberg Ding projective complex