Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | |||
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loop [2013/08/06 21:48] nikolaj |
loop [2014/03/21 11:11] (current) |
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| ===== Loop ===== | ===== Loop ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
| - | | @#55EE55: $ \langle X,* \rangle \in \text{Loop}(X)$ | | + | | @#55EE55: postulate | @#55EE55: $ \langle X,* \rangle \in \text{Loop}(X)$ | |
| - | | @#88DDEE: $\langle X,* \rangle \in \mathrm{Quasigroup}(X)$ | | + | | @#55CCEE: context | @#55CCEE: $\langle X,* \rangle \in \mathrm{Quasigroup}(X)$ | |
| - | | @#DDDDDD: $e,a\in X$ | | + | | @#DDDDDD: range | @#DDDDDD: $e,a\in X$ | |
| - | | @#55EE55: $\exists e.\ \forall a.\ (a*e=e*a=a) $ | | + | | @#55EE55: postulate | @#55EE55: $\exists e.\ \forall a.\ (a*e=e*a=a) $ | |
| Here we used infix notation for "$*$". | Here we used infix notation for "$*$". | ||
| Line 23: | Line 23: | ||
| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Quasigroup|Quasigroup]] | Wikipedia: [[http://en.wikipedia.org/wiki/Quasigroup|Quasigroup]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Quasigroup]] | [[Quasigroup]] | ||
