除环的平方子环

The Square Subrings of Division Rings

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.