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