Semisymmetric 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 left-semisymmetric magma is defined as a magma $(S,*)$ such that $x*(y*x)=y$ for all $x,y\in S$.

A right-semisymmetric magma is defined as a magma $(S,*)$ such that $(x*y)*x=y$ for all $x,y\in S$.

A magma is termed semisymmetric or hemisymmetric if and only if it is both left-semisymmetric and right-semisymmetric.