Ring (mathematics)/Related Articles

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• 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]: Add brief definition or description
• Module [r]: Add brief definition or description
• Multiplication [r]: Add brief definition or description
• Noetherian ring [r]: Add brief definition or description
• Number [r]: Add brief definition or description
• Order (ring theory) [r]: Add brief definition or description
• Pascal's triangle [r]: Add brief definition or description
• Polynomial ring [r]: Add brief definition or description
• Polynomial [r]: Add brief definition or description
• Power series [r]: Add brief definition or description
• Quadratic equation [r]: Add brief definition or description
• Ring (disambiguation) [r]: Add brief definition or description
• Ring homomorphism [r]: Add brief definition or description
• Scheme (mathematics) [r]: Add brief definition or description
• Structure (mathematical logic) [r]: Add brief definition or description
• Support (mathematics) [r]: Add brief definition or description
• Unique factorization [r]: Add brief definition or description

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