Algebraically closed field
This article defines a field property: a property that can be evaluated to true/false for any field.
View a complete list of field properties|View a complete list of field extension properties
Definition
Symbol-free definition
A field is termed algebraically closed if it satisfies the following conditions:
- Every nonconstant polynomial with coefficients in the field has a root in the field.
- Every monic polynomial with coefficients in the field can be expressed as a product of linear polynomials with coefficients in the field.