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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]