Definition:Monoid Endomorphism
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Definition
Let $\left({S, \circ}\right)$ be a monoid.
Let $\phi: S \to S$ be a (monoid) homomorphism from $S$ to itself.
Then $\phi$ is a monoid endomorphism.
Also see
Sources
- 1982: P.M. Cohn: Algebra Volume 1 (2nd ed.) ... (previous) ... (next): $\S 3.1$: Monoids