Hilbert field explained

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"