algebraically closed field
A field in which every non-constant polynomial has a root. Technical term in abstract algebra.
The field of complex numbers is an algebraically closed field.
Over an algebraically closed field, any polynomial can be factored into linear factors.
Refers to the algebraic closure of a field, i.e., the smallest algebraically closed field containing it.
General term for a field in algebra; 代数閉体 is a specific type of field.
Compound of 代数 (algebra) + 閉 (closed) + 体 (field). A direct translation of the English mathematical term 'algebraically closed field'.