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 — monoid [2007/05/05 16:09] (current)vkuncak created 2007/05/05 16:09 vkuncak created 2007/05/05 16:09 vkuncak created Line 1: Line 1: + ====== 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*}