Integral domain/Related Articles

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

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  • Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. [e]
  • Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity. [e]
  • Dedekind domain [r]: A Noetherian domain, integrally closed in its field of fractions, of which every prime ideal is maximal. [e]
  • Divisor (ring theory) [r]: Mathematical concept for the analysis of the structure of commutative rings, used for its natural correspondence with the ideal structure of such rings. [e]
  • Fraction (mathematics) [r]: A concept used to convey a proportional relation between a part and the whole consisting of a numerator (an integer — the part) and a denominator (a natural number — the whole). [e]
  • Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. [e]
  • Local ring [r]: A ring with a unique maximal ideal. [e]
  • Noetherian ring [r]: A ring satisfying the ascending chain condition on ideals; equivalently a ring in which every ideal is finitely generated. [e]
  • Polynomial ring [r]: Ring formed from the set of polynomials in one or more variables with coefficients in another ring. [e]
  • Rational number [r]: A number that can be expressed as a ratio of two integers. [e]
  • Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
  • Serge Lang [r]: (19 May 1927 – 12 September 2005) French-born American mathematician known for his work in number theory and for his mathematics textbooks, including the influential Algebra. [e]