有限环结构之递推

On recusion for the structure of finite ring

本文指出有限环的结构可归结为阶为ｐｋ环的结构，而阶为ｐｋ环可表为一些阶为对ｐｋ（ｔ＜ｋ）环之和，文中确定了阶为ｐ，或为ｐ２，或为ｐ１ｐ２…ｐｎ的环的结构．从而阶为ｐｋ环的结构可遂一递推得到．

The structure of finite ring is studied.We reduce the Structure of finite ring to that of the rings with order pk.The ring with order pk can be decomposed as a sum of rings with order pk(t<k).Thus thestructure of the ring with order Pk depends on that of rings with order Pl.For the rings with order p,order p2,or order p1p2 ''pn,their Structures are determined.So the structure of the ring with order pk cna be determined recursively.