Pure-injectivity and model theory for G-sets

Rajani, Ravi and Prest, Mike (2008) Pure-injectivity and model theory for G-sets. [MIMS Preprint]

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Abstract

In the model theory of modules the Ziegler spectrum, the space of indecomposable pure-injective modules, has played a key role. We investigate the possibility of defining a similar space in the context of $G$-sets where $G$ is a group.

Item Type: MIMS Preprint
Uncontrolled Keywords: G-set, pure-injective, model theory, Ziegler spectrum, elimination of quantifiers
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 > 20 Group theory and generalizations
Depositing User: Professor Mike Prest
Date Deposited: 27 Sep 2008
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1147

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