Category:Definitions/Semigroup Endomorphisms

This category contains definitions related to Semigroup Endomorphisms.
Related results can be found in Category:Semigroup Endomorphisms.

Let $\struct {S, \circ}$ be a semigroups.

Let $\phi: S \to S$ be a (semigroup) homomorphism from $S$ to itself.

Then $\phi$ is a semigroup endomorphism.