Cartan-Eilenberg Ding projective complexes

Authors : Bo LU, Zhongkui LİU

Pages : 362-370

Doi:10.15672/hujms.552221

View : 18 | Download : 19

Publication Date : 2020-02-06

Article Type : Research Paper

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 $C_n/\mathrm{B}_ninsert ignore into journalissuearticles values(C);$ 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