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abelian_monoid [2013/08/31 17:23] ben |
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| ===== Abelian monoid ===== | ===== Abelian monoid ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $M$ | | + | | @#55CCEE: context | @#55CCEE: $M$ | |
| - | | @#FFBB00: $ \langle M,* \rangle \in \mathrm{AbelianMonoid}(M)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \langle M,* \rangle \in \mathrm{AbelianMonoid}(M)$ | |
| - | | @#88DDEE: $ \langle M,* \rangle \in \mathrm{Monoid}(M)$ | | + | | @#55CCEE: context | @#55CCEE: $ \langle M,* \rangle \in \mathrm{Monoid}(M)$ | |
| - | | @#DDDDDD: $a,b\in X$ | | + | | @#DDDDDD: range | @#DDDDDD: $a,b\in X$ | |
| - | | @#55EE55: $a*b=b*a$ | | + | | @#55EE55: postulate | @#55EE55: $a*b=b*a$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Monoid|Monoid]] | Wikipedia: [[http://en.wikipedia.org/wiki/Monoid|Monoid]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Monoid]] | [[Monoid]] | ||
