null semigroup

A left zero semigroup is a semigroup in which every element is a left zero element. In other words, it is a set S with a product defined as xy=x for all x,yS.

A right zero semigroup is defined similarly.

Let S be a semigroup. Then S is a null semigroup if it has a zero element and if the product of any two elements is zero. In other words, there is an element θS such that xy=θ for all x,yS.

Title null semigroup
Canonical name NullSemigroup
Date of creation 2013-03-22 13:02:22
Last modified on 2013-03-22 13:02:22
Owner mclase (549)
Last modified by mclase (549)
Numerical id 4
Author mclase (549)
Entry type Definition
Classification msc 20M99
Related topic Semigroup
Related topic ZeroElements
Defines null semigroup
Defines left zero semigroup
Defines right zero semigroup