还证明了很多有限次代数数域不与上述的超积初等等价。

Also, it is proved that many algebraic number fields of finite degree are not elementarily equivalent to the above-mentioned ultraproducts.

youdao

然后着重在代数范围内进行讨论，得到下列的结果：每个有限次实代数数域都不是归纳域；

Then he considers the case of algebraic numbers and obtains some results like the following: Every real algebraic number field of finite degree is non-inductive;

youdao

然后着重在代数范围内进行讨论，得到下列的结果：每个有限次实代数数域都不是归纳域；

Then he considers the case of algebraic numbers and obtains some results like the following: Every real algebraic number field of finite degree is non-inductive;

youdao