关于有限准除环

ON FINITE ALMOST DIVISION RINGS

凡有限准除环的阶均为形如P^n(P为素数,n为正整数)的整数。本文证明了在同构意义下P^n阶准除环的个数等于因数函数值T(n),同时给出有限准除环的几种刻划。

The order of finite almost division ring is an integer p',where p is a prime and n is a positive integer. This paper proves that in isomorphism the number of the rings of order p' is equal to the value of factor function T(n),and gives the portrayals of a finite almost division ring.