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monoid_kernel [2013/09/05 20:22] nikolaj created |
monoid_kernel [2014/03/21 11:11] |
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| - | ===== Monoid kernel ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $ X $ | | ||
| - | | @#88DDEE: $ M $ ... monoid | | ||
| - | | @#88DDEE: $ f:X\to M $ | | ||
| - | |||
| - | | @#FFBB00: $ x\in\mathrm{ker}(f) $ | | ||
| - | |||
| - | | @#55EE55: $ f(x)=e $ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | $\mathrm{ker}(f)$ is $\mathrm{ker}(f)$ w.r.t. the unit of the monoid. | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Solution_set|Solution set]] | ||
| - | ==== Context ==== | ||
| - | === Subset of === | ||
| - | [[Solution set]] | ||
| - | === Requirements === | ||
| - | [[Monoid]] | ||
