totally real number field中文什么意思

全实域

• real number:    【数学】实数。
• field:    n. 1.原野，旷野；(海、空、冰雪 ...
• totally real field:    全实域; 全虚

百科释义

In number theory, a number field K is called totally real if for each embedding of K into the complex numbers the image lies inside the real numbers. Equivalent conditions are that K is generated over Q by one root of an integer polynomial P, all of the roots of P being real; or that the tensor product algebra of K with the real field, over Q, is a product of copies of R.