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abelian_monoid [2013/08/31 17:23] ben |
abelian_monoid [2015/02/02 19:08] nikolaj |
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===== Abelian monoid ===== | ===== Abelian monoid ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $M$ | | + | | @#55CCEE: context | @#55CCEE: $ \langle M,* \rangle \in \mathrm{Monoid}(M)$ | |
+ | | @#FFBB00: definiendum | @#FFBB00: $ \langle M,* \rangle \in \text{it}$ | | ||
+ | | @#FFFDDD: for all | @#FFFDDD: $a,b\in X$ | | ||
+ | | @#55EE55: postulate | @#55EE55: $a*b=b*a$ | | ||
- | | @#FFBB00: $ \langle M,* \rangle \in \mathrm{AbelianMonoid}(M)$ | | + | ----- |
+ | === Reference === | ||
+ | Wikipedia: [[http://en.wikipedia.org/wiki/Monoid|Monoid]] | ||
- | | @#88DDEE: $ \langle M,* \rangle \in \mathrm{Monoid}(M)$ | | + | ----- |
- | | @#DDDDDD: $a,b\in X$ | | + | |
- | + | ||
- | | @#55EE55: $a*b=b*a$ | | + | |
- | + | ||
- | ==== Discussion ==== | + | |
- | ==== Reference ==== | + | |
- | Wikipedia: [[http://en.wikipedia.org/wiki/Monoid|Monoid]] | + | |
- | ==== Context ==== | + | |
=== Subset of === | === Subset of === | ||
[[Monoid]] | [[Monoid]] |