Unipotent magma

This article defines a property that can be evaluated for a magma, and is invariant under isomorphisms of magmas.
View other such properties

Definition

A unipotent magma is defined as a magma $(S,*)$ with an element $e$ such that $x*x=e$ for all $x\in S$.

Thus it is a magma with one single idempotent element. Such an element $e$ is called middle neutral element.