Field theory and polynomials Real fields and ordered fields Concept
Pythagorean field
Summary
A Pythagorean field is a field in which every sum of two squares is again a square. The name comes from the Pythagorean theorem. In such a field, a right triangle with legs in the field has a hypotenuse in the field. Real closed fields and algebraically closed fields are Pythagorean, but is not.
Further reading
About this page
| Tag | A6M3GTHM40 |
|---|---|
| URI | m2://A6M3GTHM40 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 12D15 |
| Same as | |
| Changed | 2 November 2026 |
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