作者Frank000 (Frank000)
看板Math
标题[代数] radical extension
时间Sun Apr 10 12:38:36 2011
附上定义
An extension L:K is radical if L=K(a1,a2,...am) where for each j=1,...m
there exist an integer nj such that aj^nj belongs to K(a1,...aj-1) (j>=2)
Ian Stewart的Galois Theory(第三版)p154里面说到If M:K is radical and L is an
intermediate field then L:K need not be radical.然後没有举例，留在习题里
让大家想。
有没有人能举个实际例子阿(或证明存在)?我想破头也想不出来= ="
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