Quadratically 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
A field is termed a quadratically closed field if every element in the field is a square.
For every field, there is a unique smallest quadratically closed field contianing it, termed its quadratic closure.
Examples
- Field of constructible complex numbers is an example of a quadratically closed field.