Quasi-algebraically closed field (source code)

= Quasi-algebraically closed field
{wiki=Quasi-algebraically_closed_field}

A quasi-algebraically closed field is a concept from field theory, specifically in the area of algebraic geometry and model theory. A field \\( K \\) is said to be quasi-algebraically closed if every non-constant polynomial in one variable, when considered over \\( K \\), has a root in the algebraic closure of \\( K \\).