代だい数すう閉へい体たい

noun

algebraically closed field

A field in which every non-constant polynomial has a root. Technical term in abstract algebra.

• 複ふく素そ数すう体たいは代だい数すう閉へい体たいである。

  The field of complex numbers is an algebraically closed field.

• 代だい数すう閉へい体たい上じょうでは、任にん意いの多た項こう式しきが一いち次じ式しきの積せきに分ぶん解かいされる。

  Over an algebraically closed field, any polynomial can be factored into linear factors.