A Proof of Wedderburn＇s Theorem

作     者：José Antonio Cuenca Mira 

作者机构：Departamento de álgebra Geometría y Topología Facultad de Ciencias Universidad de Málaga 29071 Málaga Spain 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2015年第22卷第4期

页      面：603-606页

核心收录：

学科分类：11[军事学] 1105[军事学-军队指挥学] 07[理学] 070104[理学-应用数学] 110505[军事学-密码学] 0701[理学-数学] 

基　　金：supported by Ministerio de Ciencia y Tecnologia 

主　　题：division algebra finite-dimensional algebra finite field Galois extension 

摘      要：In this note we first introduce the finite weak Herstein condition, which is a property that holds for every finite field. For a field F satisfying the finite weak Herstein condition, we then characterize whether all the finite-dimensional division F-algebras are commutative. This gives an alternate proof of Wedderburn＇s Theorem.