中文摘要：

引入了Gorenstein弱平坦模,给出了Gorenstein弱平坦模的一些性质。证明了Gorenstein弱平坦模类关于直积封闭,Gorenstein弱平坦模类是投射可解类当且仅当它关于扩张封闭,并且证明了每一个模都具有Gorenstein弱平坦预覆盖。

英文摘要：

Gorenstein weak flat modules are introduced and some properties of such modules are given. It is proved that the class of Gorenstein weak flat modules is closed under direct products,and that the class of Gorenstein weak flat modules is projectively resolving if and only if it is closed under extensions. Moreover,it is proved that every module has a Gorenstein weak flat precover.