有限生成平坦模的投射性和内射性

The Properties of the Projection and Injection On the Finitely Generated Flate Module

本文给出了每个有限生成平坦模投射、内射、既投射又内射的三种环类的刻画,给出了每个有限生成平坦模既投射又内射这一类环的分类.

In this paper,We have give the description of three sort rings which every finitelygenerated flat module is projective and injective.And then,we have given a classificatian of the rings which every fimitely generated mod-ule is both projective and mjechve