Definition: Endomorphism
A homomorphism $f:G\to H$ between the algebraic structures $(G,\ast)$ and $(H,\cdot)$ is called an endomorphism, if $G=H.$
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References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück