Here's a Venn diagram depicting how the different categories of homomorphisms relate to one another:
|
Abbreviation
|
Description
|
|
Mono
|
Set of monomorphisms (injective) |
|
Epi
|
Set of epimorphism (surjective) |
|
Iso
|
Set of isomorphisms (bijective) |
|
Auto
|
Set of automorphisms (bijective and endomorphic) |
A homomorphism is a correspondence between set A (the domain) and set B (the codomain or range), so that each object in A determines a unique object in B and each object in B has an arrow/function/morphism pointing to it from A.
If operations, for example, addition and multiplication, are defined for A and ...
