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附上定義 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裡面說到If M:K is radical and L is an intermediate field then L:K need not be radical.然後沒有舉例,留在習題裡 讓大家想。 有沒有人能舉個實際例子阿(或證明存在)?我想破頭也想不出來= =" -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 108.65.2.220