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semigroup [2015/04/12 16:07] nikolaj |
semigroup [2015/04/12 17:48] nikolaj |
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===== Semigroup ===== | ===== Semigroup ===== | ||
==== Set ==== | ==== Set ==== | ||
- | | @#55CCEE: context | @#55CCEE: $S$ | | + | | @#55CCEE: context | @#55CCEE: $S$ ... set | |
- | | @#FFBB00: definiendum | @#FFBB00: $\langle\!\langle S,* \rangle\!\rangle \in \text{Semigroup}(S)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle\!\langle S,* \rangle\!\rangle \in $ semigroup(S) | |
- | | @#AAFFAA: inclusion | @#AAFFAA: $\langle\!\langle S,* \rangle\!\rangle\in \mathrm{Magma}(S)$ | | + | | @#AAFFAA: inclusion | @#AAFFAA: $\langle\!\langle S,* \rangle\!\rangle\in $ magma(S) | |
- | | @#55EE55: postulate | @#55EE55: $a,b,c.\ (a*b)*c=a*(b*c)$ | | + | | @#55EE55: postulate | @#55EE55: $(a*b)*c=a*(b*c)$ | |
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