Definable additive categories: purity and model theory

Prest, Mike (2008) Definable additive categories: purity and model theory. [MIMS Preprint]

Warning
There is a more recent version of this item available.
[thumbnail of defadcatrev.pdf] PDF
defadcatrev.pdf

Download (619kB)

Abstract

Definable additive categories and their model theory are the topic of this paper. We begin with background and preliminary results on additive categories. Then definable subcategories, their properties and the morphisms between them are investigated, as are certain associated topological spaces (``spectra"). It was in the model theory of modules that these categories were first considered and model theory provides some of the tools for exploring them. Some general model-theoretic background is presented, then various aspects of the model theory of definable categories are considered.

Item Type: MIMS Preprint
Uncontrolled Keywords: additive definable categories modules purity model theory finitely accessible
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
MSC 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras
MSC 2010, the AMS's Mathematics Subject Classification > 18 Category theory; homological algebra
Depositing User: Professor Mike Prest
Date Deposited: 16 Jul 2008
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1131

Available Versions of this Item

Actions (login required)

View Item View Item