Difference between revisions of "Notes:Homomorphism"

From Maths
Jump to: navigation, search
(Created page with "__TOC__ ==Claims to investigate== # Homomorphisms are {{plural|morphism|s}} in any category whose objects are sets (perhaps with additional structure) - this seems to be the c...")
 
(No difference)

Latest revision as of 23:44, 13 August 2016

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?