中文摘要：

利用同调代数的工具，主要证明了弱Gorenstein平坦模类为投射预解的当且仅当它是扩张封闭的，进一步的刻画了左wGF-封闭环上弱Gorenstein平坦模的一些性质，这些内容丰富了D．Bennis等人的研究结果．

英文摘要：

Using homological methods, it is proved that the class of the weak Gorenstein flat modules was projectively resolving if and only if it was closed under extensions. Furthermore, some properties of weak Gorenstein flat modules under the wGF rings were also given, which generalized the results of D. Bennis and so on.