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arXiv · 1301.5573

Stability of strongly Gorenstein flat modules

Zhanping Wang·Zhongkui Liu
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Abstract

A left $R$-module $M$ is called two-degree Ding projective if there exists an exact sequence $...\longrightarrow D_{1}\longrightarrow D_{0}\longrightarrow D_{-1}\longrightarrow D_{-2}\longrightarrow...$ of Ding projective left $R$-modules such that $M\cong\ker (D_{0}\longrightarrow D_{-1})$ and $\Hom_{R} (-, F)$ leaves the sequence exact for any flat (or Gorenstein flat) left $R$-module $F$. In this paper, we show that the two-degree Ding projective modules are nothing more than the Ding projective modules.

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Zhanping Wang, Zhongkui Liu. 2014-02-17. Stability of strongly Gorenstein flat modules. https://doi.org/10.1007/s10013-013-0041-3

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