Field theory (mathematics) > Related Articles
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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]
Other related topics
- 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]
