Explanation: All Types of Morphisms and Their Properties

(related to Motivation: Common Concepts Of Algebra: Substructures and Morphisms)

The following figure illustrates the connections between the different morphisms and their properties:

morphisms

These words should help you to memorize the diagram:

"HIMSI" Homomorphism (Injective) Monomorphism (Surjective) Isomorphism

and

"DIA" enDomorphism epImorphism Automorphism.

From these words, it should be easier to rebuild the whole diagram from scratch.


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References

Bibliography

  1. Knauer Ulrich: "Diskrete Strukturen - kurz gefasst", Spektrum Akademischer Verlag, 2001