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abelian_monoid [2014/03/21 11:11] 127.0.0.1 external edit |
abelian_monoid [2015/02/02 19:08] nikolaj |
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| ===== Abelian monoid ===== | ===== Abelian monoid ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#55CCEE: context | @#55CCEE: $M$ | | ||
| - | |||
| - | | @#FFBB00: definiendum | @#FFBB00: $ \langle M,* \rangle \in \mathrm{AbelianMonoid}(M)$ | | ||
| - | |||
| | @#55CCEE: context | @#55CCEE: $ \langle M,* \rangle \in \mathrm{Monoid}(M)$ | | | @#55CCEE: context | @#55CCEE: $ \langle M,* \rangle \in \mathrm{Monoid}(M)$ | | ||
| - | | @#DDDDDD: range | @#DDDDDD: $a,b\in X$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \langle M,* \rangle \in \text{it}$ | |
| + | | @#FFFDDD: for all | @#FFFDDD: $a,b\in X$ | | ||
| | @#55EE55: postulate | @#55EE55: $a*b=b*a$ | | | @#55EE55: postulate | @#55EE55: $a*b=b*a$ | | ||
| Line 13: | Line 9: | ||
| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Monoid|Monoid]] | Wikipedia: [[http://en.wikipedia.org/wiki/Monoid|Monoid]] | ||
| - | ==== Parents ==== | + | |
| + | ----- | ||
| === Subset of === | === Subset of === | ||
| [[Monoid]] | [[Monoid]] | ||
