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# Differences

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monoid [2007/05/05 16:09] (current)
vkuncak created
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+====== 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*}