除环的平方子环  

The Square Subrings of Division Rings

作　　者：王学宽[1] 

机构地区：[1]湖北大学数学与计算机科学学院

出　　处：《湖北大学学报（自然科学版）》1998年第3期205-206,共2页Journal of Hubei University：Natural Science

基　　金：湖北省教委自然科学基金

摘　　要：证明了除特征为２且为其素域上的超越扩域之无限域以外，所有除环均由其平方元素所生成；并用实例证明了特征为２且为其素域上的超越扩张之无限域中，存在不能由其平方元素所生成的域．It is shown that all division rings except infinite fields of charecter 2 which are transcendental extension of their prime subfields are generated by their square elements. Pointed out that in the infinite fields of charecter 2 which are not algebra extension fields on their prime subfields, there exist fields which are not generated by their square elements.

关 键 词：除环 代数扩张 超越扩张 素子域 平方子环 

分 类 号：O153.3[理学—数学]