Mathematics – Category Theory
Scientific paper
2012-02-15
Mathematics
Category Theory
10 pages
Scientific paper
In this paper we define Gabriel monads as the idempotent monads associated to
exact reflective localizations in Abelian categories and characterize them by a
simple set of properties. The coimage of a Gabriel monad is a Serre quotient
category. The Gabriel monad induces an equivalence between its coimage and its
image, the localizing subcategory of local objects.
Barakat Mohamed
Lange-Hegermann Markus
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