关于双二次域Q(m^(1/2),n^(1/2))的正规整基

On Normal Integral Basis of Biquadratic Number Fields Q(m^(1/2),n^(1/2))

给出了等价的定义,在存在正规整基的前提下证明了在等价的条件下双二次域的正规整基生成元惟一,同时计算出了具体的生成元,最后,用具体例子验证了不同情形下的生成元惟一.

Equivalent definition is given first,then on the premise of the existence of NIB we prove the generator of NIB in Biquadratic number fields Q（√m√n） is unique up to equivalence. At the same time,we obtain the generator of NIB. Finally,specific examples of different cases are given to verify the generator.