Cartan-Eilenberg Ding projective complexes

Key Findings & Data: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.

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Conclusion & Impact:Some applications are also given.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Ding projective module · Ding projective complex · Cartan-Eilenberg Ding projective complex

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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Cite This Article

LU, B., Liu, Z. (2022). Cartan-Eilenberg Ding projective complexes. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 362–370. https://ajindex.com/articles/530056

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