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 English language is nobody’s special property. It is the property of the imagination: it is the property of the language itself.”
—Derek Walcott (b. 1930)
“Only by being guilty of Folly does mortal man in many cases arrive at the perception of Sense. A thought which should forever free us from hasty imprecations upon our ever-recurring intervals of Folly; since though Folly be our teacher, Sense is the lesson she teaches; since, if Folly wholly depart from us, Further Sense will be her companion in the flight, and we will be left standing midway in wisdom.”
—Herman Melville (1819–1891)