Diagonal functor : The diagonal functor is defined as the functor from D to the functor category D C which sends each ob...
Problems formulated with adjoint functors 1.3 Adjoint functors as solving optimization problems 1.4 The case of partial ...
Indeed, the term "zero object" originated in the study of preadditive categories like Ab , where the zero obje...
Limits and universal morphisms Colimits in comma categories may be "inherited". If and are cocomplete, is a co...
Functors Main article: functor Functors are structure-preserving maps between categories. They can be thought of as morp...
C . (Recall that a category C is preadditive if all its morphism sets are Abelian groups and morphism composition is bil...
contravariant functor is right exact if and only if it turns finite limits into colimits. A functor is exact if and only...