具有限底层的准素阿贝尔群的结构

THE STRUCTURE OF THE PRIMARY ABELIAN GROUPS WITTH THE FINITE BOTTOM LAYER

本文讨论了一类Ａｂｅｌｐ－群的结构，即带有限底层的ｐ－群，建立了对Ａｂｅｌｐ－群来说，带有限底层与极小条件是等价的这样一个结论．

A primary abelian groups is said to be of finited bottom layer if the order of its bottom layer is finite.In this paper,we prove the following theorem:A primally abelian groups is of finite bottom layer if and only if it is direct sum offinitely many quasicyclie groups and cyclic groups of prime-poner order.