Local presentability of categories of sheaves of modules

Philip, Bridge (2010) Local presentability of categories of sheaves of modules. [MIMS Preprint]

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Abstract

We show that the category of modules over a ring in a Grothendieck topos is monadic, and as a consequence, the category of modules over a ring in a locally finitely presentable topos is locally finitely presentable.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 18 Category theory; homological algebra
Depositing User: Mr Philip Bridge
Date Deposited: 11 Apr 2010
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1432

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