Additive Category - Special Cases

Special Cases

  • A pre-abelian category is an additive category in which every morphism has a kernel and a cokernel.
  • An abelian category is a pre-abelian category such that every monomorphism and epimorphism is normal.

The additive categories most commonly studied are in fact abelian categories; for example, Ab is an abelian category.

Read more about this topic:  Additive Category

Famous quotes containing the words special and/or cases:

    “The great rule: If the little bit you have is nothing special in itself, at least find a way of saying it that is a little bit special.”
    —G.C. (Georg Christoph)

    “In cases of defense ‘tis best to weigh
    The enemy more mighty than he seems.”
    —William Shakespeare (1564–1616)