binary operation

A binary operationMathworldPlanetmath on a set X is a function from the Cartesian product X×X to X. A binary operation is sometimes called internal composition.

Rather than using function notation, it is usual to write binary operations with an operationMathworldPlanetmath symbol between elements, or even with no operation at all, it being understood that juxtaposed elements are to be combined using an operation that should be clear from the context.

Thus, additionPlanetmathPlanetmath of real numbers is the operation


and multiplication in a groupoid is the operation

Title binary operation
Canonical name BinaryOperation
Date of creation 2013-03-22 13:08:12
Last modified on 2013-03-22 13:08:12
Owner mclase (549)
Last modified by mclase (549)
Numerical id 7
Author mclase (549)
Entry type Definition
Classification msc 08A99
Synonym internal composition
Related topic Arity
Related topic Operation