Galois-theory meaning

găl-wä
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.
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A branch of algebra that determines if an algebraic equation can be solved in terms of radicals.
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The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.
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Origin of galois-theory

  • After Évariste Galois (1811–1832), French mathematician

    From American Heritage Dictionary of the English Language, 5th Edition

  • Named after Evariste Galois.

    From Wiktionary