设R是环，n是非负整数，Fn是所有FP-Gorenstein余挠维数不超n的左R-模类构成的集合。介绍了Fn的一些性质，当R是凝聚环时，证明了（Fn，F⊥n）是完全的余挠理论，因此每个模有一个满的Fn-覆盖和单的F⊥n-包络；进一步证明了每个左R-模有Fn-预包络。%Let R be a ring , n is a fixed nonnegative integer and Fn is the class of all left R-modules of FP-Gorenstein cotorsion dimensions at most n . Some properties of Fn are introduced , and it is proved that (Fn ,F⊥n ) is a perfect cotorsion theory , so every module have a epic Fn-cover and monic F⊥n-envelope . It is also proved that every left R-modules over left coherent ring have Fn-preenvelope .
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