On monads of exact reflective localizations of Abelian categories
Category Theory
2016-12-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1202.3337,
title = {On monads of exact reflective localizations of Abelian categories},
author = {Mohamed Barakat and Markus Lange-Hegermann},
journal= {arXiv preprint arXiv:1202.3337},
year = {2016}
}
Comments
fixed Prop. 2.10, updated bibliography