设Q为有理数域,利用局部域的方法,讨论了P在Q的6次根扩张Q(6√u)(y∈R)中的分解问题.并完全确定了(p,6)=1,(p,u)=1时的分解所有可能的形式.
Assume that Q is the field of rational number in this paper. Discussed the problem of the law of prime ideal decomposition ofp over Q(6√u)(y∈R)by used of the method of local field. The possible type of decomposition of prime ideal has been established when ((p, 6) = 1, (p, u) = 1)).