Galois theory[gal wä′]
a branch of algebra that determines if an algebraic equation can be solved in terms of radicals
Origin of Galois theoryafter E. Galois (1811-32), French mathematician
The part of algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. It gives conditions under which the solutions can be expressed in terms of addition, subtraction, multiplication, division, and of the extraction of roots.
Origin of Galois theoryAfter Évariste Galois, (1811–1832), French mathematician.
- The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.
Named after Evariste Galois.