# Ring (mathematics)/Related Articles

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A list of Citizendium articles, and planned articles, about Ring (mathematics).

## Bot-suggested topics

Auto-populated based on Special:WhatLinksHere/Ring (mathematics). Needs checking by a human.

• Absorbing element [r]: An element whose behaviour with respect to an algebraic binary operation is like that of zero with respect to multiplication. [e]
• Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. [e]
• Algebra over a field [r]: A ring containing an isomorphic copy of a given field in its centre. [e]
• 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]
• Basis (linear algebra) [r]: A set of vectors that, in a linear combination, can represent every vector in a given vector space or free module, and such that no element of the set can be represented as a linear combination of the others. [e]
• Commutative algebra [r]: Branch of mathematics studying commutative rings and related structures. [e]
• Commutator [r]: A measure of how close two elements of a group are to commuting. [e]
• Convolution (mathematics) [r]: A process which combines two functions on a set to produce another function on the set: the value of the product function depends on a range of values of the argument. [e]
• Derivation (mathematics) [r]: A map defined on a ring which behaves formally like differentiation: D(x.y)=D(x).y+x.D(y). [e]
• Diagonal matrix [r]: A square matrix which has zero entries off the main diagonal. [e]
• Differential ring [r]: A ring with added structure which generalises the concept of derivative. [e]
• Diophantine equation [r]: Equation in which the unknowns are required to be integers. [e]
• Dirichlet series [r]: An infinite series whose terms involve successive positive integers raised to powers of a variable, typically with integer, real or complex coefficients. [e]
• Distributivity [r]: A relation between two binary operations on a set generalising that of multiplication to addition: a(b+c)=ab+ac. [e]
• Division ring [r]: (or skew field), In algebra it is a ring in which every non-zero element is invertible. [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]
• Field (mathematics) [r]: An algebraic structure with operations generalising the familiar concepts of real number arithmetic. [e]
• Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation. [e]
• Group theory [r]: Branch of mathematics concerned with groups and the description of their properties. [e]
• Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. [e]
• Integral domain [r]: A commutative ring in which the product of two non-zero elements is again non-zero. [e]
• Linear equation [r]: Algebraic equation, such as y = 2x + 7 or 3x + 2y − z = 4, in which the highest degree term in the variable or variables is of the first degree. [e]
• Linear independence [r]: The property of a system of elements of a module or vector space, that no non-trivial linear combination is zero. [e]
• Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
• Module [r]: Mathematical structure of which abelian groups and vector spaces are particular types. [e]
• Multiplication [r]: The binary mathematical operation of scaling one number or quantity by another (multiplying). [e]
• Noetherian ring [r]: A ring satisfying the ascending chain condition on ideals; equivalently a ring in which every ideal is finitely generated. [e]
• Number [r]: One of the fundamental concepts of mathematics, used for such purposes as counting, ordering, and measuring. [e]
• Order (ring theory) [r]: A ring which is finitely generated as a Z-module. [e]
• Pascal's triangle [r]: A convenient tabular presentation for the binomial coefficients. [e]
• Polynomial ring [r]: Ring formed from the set of polynomials in one or more variables with coefficients in another ring. [e]
• Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
• Power series [r]: An infinite series whose terms involve successive powers of a variable, typically with real or complex coefficients. [e]
• Quadratic equation [r]: An equation of the form ax2 + bx + c = 0 where a, b and c are constants. [e]
• Ring (disambiguation) [r]: Add brief definition or description
• Ring homomorphism [r]: Function between two rings which respects the operations of addition and multiplication. [e]
• Scheme (mathematics) [r]: Topological space together with commutative rings for all its open sets, which arises from 'glueing together' spectra (spaces of prime ideals) of commutative rings. [e]
• Structure (mathematical logic) [r]: A set along with a collection of finitary functions and relations which are defined on it. [e]
• Support (mathematics) [r]: (1) The set of points where a function does not take some specific value, such as zero. (2) In a topological space, the closure of that set. [e]
• Unique factorization [r]: Every positive integer can be expressed as a product of prime numbers in essentially only one way. [e]