Monoid kernel
Set
context | $ X $ |
context | $ M $ … monoid |
context | $ f:X\to M $ |
definiendum | $ x\in\mathrm{ker}(f) $ |
postulate | $ f(x)=e $ |
Discussion
$\mathrm{ker}(f)$ is $\mathrm{sol}(f)$ w.r.t. the unit of the monoid.
Reference
Wikipedia: Solution set