Galois theory[gal wä′]
Galois theory definition by Webster's New World
Webster's New World College Dictionary Copyright © 2010 by Wiley Publishing, Inc., Cleveland, Ohio. Used by arrangement with John Wiley & Sons, Inc.
a branch of algebra that determines if an algebraic equation can be solved in terms of radicals
Origin: after E. Galois (1811-32), French mathematician
Galois theory definition by American Heritage Dictionary
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: After Évariste Galois (1811-1832), French mathematician.