Cartan-Eilenberg Ding projective complexes

Year 2020, , 362 - 370, 06.02.2020

Bo Lu Zhongkui Liu

https://doi.org/10.15672/hujms.552221

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

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