有理数域上二次单纯代数扩张同构的充要条件

Necessary and Sufficient Condition of Isomorph for Quadratic Simple Algebraic Extensions over Rational Field

通过对Q上两个二次代数元所属最小多项式系数之间关系的讨论,给出一个判定Q上二次单纯代数扩张同构的一个较为直观的充分必要条件,指出二次单纯代数扩张之间只有恒等与共轭两种同构映射.

Analyzing the relationship between coefficients in minimal polynomials of two quadratic algebraic elements over rational field Q gave that a necessary and sufficient condition of isomorph for quadratic simple algebraic extensions on Q. It further showed that the isomorphism between quadratic simple algebraic extensions is either identical or conjugate.