A band is a semigroup in which every element is idempotentPlanetmathPlanetmath.

In semigroup theory, a commutativePlanetmathPlanetmathPlanetmathPlanetmath band is called a semilattice. This is to the defintion of a semilattice from the theory of partially ordered setsMathworldPlanetmath.

Title band
Canonical name Band
Date of creation 2013-03-22 12:57:26
Last modified on 2013-03-22 12:57:26
Owner mclase (549)
Last modified by mclase (549)
Numerical id 5
Author mclase (549)
Entry type Definition
Classification msc 20M99
Related topic Semigroup