Field theory (mathematics)/Related Articles: Difference between revisions
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imported>Richard Pinch (→Subtopics: added Division ring) |
imported>Richard Pinch (wrong placement for Division ring) |
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{{r|Algebraic number field}} | {{r|Algebraic number field}} | ||
{{r|Field automorphism}} | {{r|Field automorphism}} | ||
{{r|Field extension}} | {{r|Field extension}} | ||
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==Other related topics== | ==Other related topics== | ||
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{{r| | {{r|Division ring}} | ||
{{r|Vector space}} | {{r|Vector space}} | ||
Latest revision as of 08:53, 22 December 2008
- 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
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]
- Division ring [r]: (or skew field), In algebra it is a ring in which every non-zero element is invertible. [e]
- Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]