带自同态的单模和半单模

Simple Module and Semisimple Module with a Endomorphism

本文研究带有一个自同态的单模、半单模,推广了著名的Schur引理。当σ是幂等自同态时,给出σ-单模、σ-半单模的构造。

In this paper,wc study simple module and semisimple module with a endomorphism, the Schur's lemma is further generalised.If σ~2=σ, the structures of σ—simple and σ—semisimple module are given.