Algebraic number field/Related Articles

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A list of Citizendium articles, and planned articles, about Algebraic number field.
See also changes related to Algebraic number field, or pages that link to Algebraic number field or to this page or whose text contains "Algebraic number field".

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  • Algebraic number [r]: A complex number that is a root of a polynomial with rational coefficients. [e]
  • Artin L-function [r]: A type of Dirichlet series associated to a linear representation ρ of a Galois group G. [e]
  • Conductor of a number field [r]: Used in algebraic number theory; a modulus which determines the splitting of prime ideals. [e]
  • Dedekind domain [r]: A Noetherian domain, integrally closed in its field of fractions, of which every prime ideal is maximal. [e]
  • Dedekind zeta function [r]: Generalization of the Riemann zeta function to algebraic number fields. [e]
  • Different ideal [r]: An invariant attached to an extension of algebraic number fields which encodes ramification data. [e]
  • Discriminant of an algebraic number field [r]: An invariant attached to an extension of algebraic number fields which describes the geometric structure of the ring of integers and encodes ramification data. [e]
  • Elliptic curve [r]: An algebraic curve of genus one with a group structure; a one-dimensional abelian variety. [e]
  • 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]
  • Integral closure [r]: The ring of elements of an extension of a ring which satisfy a monic polynomial over the base ring. [e]
  • KANT [r]: A computer algebra system for mathematicians interested in algebraic number theory. [e]
  • Modulus (algebraic number theory) [r]: A formal product of places of an algebraic number field, used to encode ramification data for abelian extensions of a number field. [e]
  • Monogenic field [r]: An algebraic number field for which the ring of integers is a polynomial ring. [e]
  • Number theory [r]: The study of integers and relations between them. [e]
  • Order (ring theory) [r]: A ring which is finitely generated as a Z-module. [e]
  • Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]