Galois theory/Related Articles: Difference between revisions
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imported>Richard Pinch (parent: Field theory; related: Evariste Galois, Field automorphism, Polynomail) |
imported>Richard Pinch m (→Parent topics: link) |
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{{r|article}} | {{r|article}} | ||
{{r|Formal Title}} --> | {{r|Formal Title}} --> | ||
{{r|Field theory}} | {{r|Field theory (mathematics)}} | ||
==Subtopics== | ==Subtopics== | ||
<!-- List topics here that are included by this topic. --> | <!-- List topics here that are included by this topic. --> | ||
{{r|Normal extension}} | |||
{{r|Normal closure}} | |||
{{r|Splitting field}} | |||
==Other related topics== | ==Other related topics== | ||
Latest revision as of 13:18, 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]