Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | |||
|
quasigroup [2013/08/06 21:46] nikolaj |
quasigroup [2014/03/21 11:11] (current) |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Quasigroup ===== | ===== Quasigroup ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
| - | | @#55EE55: $ \langle X,* \rangle \in \text{Quasigroup}(X)$ | | + | | @#55EE55: postulate | @#55EE55: $ \langle X,* \rangle \in \text{Quasigroup}(X)$ | |
| - | | @#88DDEE: $\langle X,* \rangle \in \mathrm{Magma}(X)$ | | + | | @#55CCEE: context | @#55CCEE: $\langle X,* \rangle \in \mathrm{Magma}(X)$ | |
| - | | @#DDDDDD: $a,b,x,y\in X$ | | + | | @#DDDDDD: range | @#DDDDDD: $a,b,x,y\in X$ | |
| - | | @#55EE55: $ \forall a.\ \forall b.\ \exists x.\ a*x=b $ | | + | | @#55EE55: postulate | @#55EE55: $ \forall a.\ \forall b.\ \exists x.\ a*x=b $ | |
| - | | @#55EE55: $ \forall a.\ \forall b.\ \exists y.\ y*a=b $ | | + | | @#55EE55: postulate | @#55EE55: $ \forall a.\ \forall b.\ \exists y.\ y*a=b $ | |
| Here we used infix notation for "$*$". | Here we used infix notation for "$*$". | ||
| Line 25: | Line 25: | ||
| ==== Reference ==== | ==== Reference ==== | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Quasigroup|Quasigroup]] | Wikipedia: [[http://en.wikipedia.org/wiki/Quasigroup|Quasigroup]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Magma]] | [[Magma]] | ||
