Field theory (mathematics)/Related Articles: Difference between revisions

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imported>Richard Pinch
(parent: Algebra; subtopics:Field autumorphism, Field extension, Galois theory, Ordered field; related:Shew-field, Vector space)
 
imported>Richard Pinch
(→‎Subtopics: added several)
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==Subtopics==
==Subtopics==
<!-- List topics here that are included by this topic. -->
<!-- List topics here that are included by this topic. -->
{{r|Algebraic number field}}
{{r|Field automorphism}}
{{r|Field automorphism}}
{{r|Field extension}}
{{r|Field extension}}
{{r|Finite field}}
{{r|Galois theory}}
{{r|Galois theory}}
{{r|Genus field}}
{{r|Monogenic field}}
{{r|Ordered field}}
{{r|Ordered field}}
{{r|Quadratic field}}


==Other related topics==
==Other related topics==

Revision as of 02:41, 7 December 2008

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https://en.citizendium.org/wiki/index.php?title=Field_theory_(mathematics)/Related_Articles&printable=yes
A list of Citizendium articles, and planned articles, about Field theory (mathematics).
See also changes related to Field theory (mathematics), or pages that link to Field theory (mathematics) or to this page or whose text contains "Field theory (mathematics)".


Parent topics

  • Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity. [e]

Subtopics

  • Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. [e]
  • Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. [e]
  • Field extension [r]: A field containing a given field as a subfield. [e]
  • Finite field [r]: Field that contains only finitely many elements. [e]
  • Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. [e]
  • Genus field [r]: The maximal absolutely abelian unramified extension of a number field. [e]
  • Monogenic field [r]: An algebraic number field for which the ring of integers is a polynomial ring. [e]
  • Ordered field [r]: A field with a total order which is compatible with the algebraic operations. [e]
  • Quadratic field [r]: A field which is an extension of its prime field of degree two. [e]

Other related topics

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