Notes:Homomorphism

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Claims to investigate

  1. Homomorphisms are morphisms in any category whose objects are sets (perhaps with additional structure) - this seems to be the case. I think these are called "concrete categories"
  2. Monomorphisms (for example) are just monic morphisms, which for "concrete" categories are injective (and surjective for epimorphism - derived from epic)

Terminology

  1. Monomorphism - see monic
  2. Epimorphism - see epic
  3. Automorphism
  4. Isomorphism
  5. Endomorphism

What else?