ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Operation
N-operation
Binary operation
Enclosed binary operation
Groupoid
Definition D679
Groupoid homomorphism
Formulation 0
Let $G$ and $H$ each be a D263: Groupoid.
A D18: Map $f : G \to H$ is a groupoid homomorphism from $G$ to $H$ if and only if \begin{equation} \forall \, x, y \in G : f(x y) = f(x) f(y) \end{equation}
Children
Semigroup homomorphism