Differences
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semigroup [2014/12/18 18:56] nikolaj |
semigroup [2015/04/12 16:07] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $S$ | | | @#55CCEE: context | @#55CCEE: $S$ | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $ \langle S,* \rangle \in \text{Semigroup}(S)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle\!\langle S,* \rangle\!\rangle \in \text{Semigroup}(S)$ | |
| - | | @#55EE55: postulate | @#55EE55: $\langle S,* \rangle\in \mathrm{Magma}(S)$ | | + | | @#AAFFAA: inclusion | @#AAFFAA: $\langle\!\langle S,* \rangle\!\rangle\in \mathrm{Magma}(S)$ | |
| - | | @#DDDDDD: range | @#DDDDDD: $a,b,c\in S$ | | + | | @#55EE55: postulate | @#55EE55: $a,b,c.\ (a*b)*c=a*(b*c)$ | |
| - | | @#55EE55: postulate | @#55EE55: $\forall a,b,c.\ (a*b)*c=a*(b*c)$ | | + | |
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