Giraud subcategory
In mathematics, Giraud subcategories form an important class of subcategories of Grothendieck categories. They are named after Jean Giraud.Definition
Let be a Grothendieck category. A full subcategory is called reflective, if the inclusion functor has a left adjoint. If this left adjoint of also preserves
kernels, then is called a Giraud subcategory.Properties
Let be Giraud in the Grothendieck category and the inclusion functor.
