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semigroup [2007/05/05 16:10] (current) vkuncak created |
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+ | ====== Semigroup ====== | ||
+ | |||
+ | Semigroup is a pair $(G,*)$ where $* : G^2 \to G$ such that $*$ is associative, that is, for all $x,y, z \in G$, | ||
+ | \begin{equation*} | ||
+ | x * (y * z) = (x * y) * z | ||
+ | \end{equation*} | ||