Galois theory/Related Articles: Difference between revisions
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imported>Richard Pinch (→Subtopics: added Normal extension, Normal closure, Splitting field) |
imported>Richard Pinch m (→Parent topics: link) |
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Revision as of 12:18, 20 December 2008
- See also changes related to Galois theory, or pages that link to Galois theory or to this page or whose text contains "Galois theory".
Parent topics
- Field theory (mathematics) [r]: A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on the familiar concepts of real number arithmetic. [e]
Subtopics
- Normal extension [r]: A field extension which contains all the roots of an irreducible polynomial if it contains one such root. [e]
- Normal closure [r]: Add brief definition or description
- Splitting field [r]: A field extension generated by the roots of a polynomial. [e]
- Evariste Galois [r]: Add brief definition or description
- Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. [e]
- Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]