On monads of exact reflective localizations of Abelian categories
Mohamed Barakat und Markus Lange-Hegermann,
Dec 2014
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.
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@misc{2369,
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| author | = | {Barakat, Mohamed and Lange-Hegermann, Markus}, |
| title | = | {On monads of exact reflective localizations of Abelian categories}, |
| howpublished | = | {}, |
| month | = | {Dec}, |
| year | = | {2014}, |
| note | = | {}, |