Abel's irreducibility theorem

English

Etymology

Described in 1829 by Niels Henrik Abel.

Proper noun

Abel's irreducibility theorem

1. (mathematics) A field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x).