We describe the structure of the projective cover of a module \(M_R\) over a local ring R and its relation with minimal sets of generators of \(M_R\). The behaviour of local right perfect rings is completely different from the behaviour of local rings that are not right perfect.

中文翻译：

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局部环上的射影覆盖

我们描述了一种模块的投影覆盖的结构\（M_R \）通过本地环- [R和其以最小的套发电机关系\（M_R \） 。局部右理想环的行为与非右理想环的行为完全不同。