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arXiv · 1202.3337

On monads of exact reflective localizations of Abelian categories

Mohamed Barakat·Markus Lange-Hegermann
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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.

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Mohamed Barakat, Markus Lange-Hegermann. 2012-02-15. On monads of exact reflective localizations of Abelian categories. https://doi.org/10.4310/hha.2013.v15.n2.a8

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