强Gorenstein平坦模的稳定性
Stability of strongly Gorenstein flat modules
摘要：
一个左$R$ -模$M$称为二度丁投射，如果存在丁投射左$R$ -模的正合序列$...\longrightarrow D_{1}\longrightarrow D_{0}\longrightarrow D_{-1}\longrightarrow D_{-2}\longrightarrow...$，使得$M\cong\ker (D_{0}\longrightarrow D_{-1})$和$\Hom_{R} (-, F)$对于任何平坦（或Gorenstein平坦）的左$R$ -模$F$都留下正合序列.本文证明了二度Ding投射模也是Ding投射模.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
