Hilbert field

Hilbert field may refer to:


 * The Hilbert field, the minimal ordered Pythagorean field
 * A Hilbert field is one with minimal Kaplansky radical
 * Hilbert class field, the maximal abelian unramified extension of a number field
 * Hilbert–Speiser field, a field with a normal integral basis
 * Hilbertian field, a field supporting a Hilbertian variety, one which is not "thin"