ThmDex – An index of mathematical definitions, results, and conjectures.
Result R3901 on D989: Map kernel
Domain of map to monoid equals union of kernel and support
Formulation 0
Let $G$ be a D265: Monoid such that
(i) $I_G$ is an D39: Identity element in $G$
Let $f : X \to G$ be a D18: Map.
Then \begin{equation} X = \mathsf{ker}(f) \cup \mathsf{supp}(f) \end{equation}