LARA

Monoid

Monoid is a triple $(G, *,e)$ where ${*} : G^2 \to G$ such that

  • $(G,*)$ is a semigroup and
  • $e$ is a neutral element for $*$

The second condition means that for all $x \in G$,

\begin{equation*} x * e = e * x = x \end{equation*}