-Morphisms
Homomorphism: A structure preserving map between 2 objects.
e.g.,
homomorphism:
Endomorphism: A homomorphism where domain and codomain are the same object.
e.g.,
homomorphism:
Isomorphism: A bijective homomorphism. (i.e., it has an inverse that is an homomorphism).
e.g.,
homomorphism:
bijection: Since , multiplication by is invertible. Its inverse is multiplication by itself, because .
Automorphism: An isomorphism from an object to itself. Equivalently, it is a bijective endomorphism.
e.g., the example above is also an example of automorphism. TODO: Find a better example.
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