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:	08 Mar 2010
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1425

Available Versions of this Item

• Local presentability of categories of sheaves of modules. (deposited 08 Mar 2010) [Currently Displayed]
  • Local presentability of categories of sheaves of modules. (deposited 11 Apr 2010)

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