Journal article
Interpreting structures of finite Morley Rank in strongly minimal sets
- Abstract:
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We show that any structure of finite Morley Rank having the definable multiplicity property (DMP) has a rank and multiplicity preserving interpretation in a strongly minimal set. In particular, every totally categorical theory admits such an interpretation. We also show that a slightly weaker version of the DMP is necessary for a structure of finite rank to have a strongly minimal expansion. We conclude by constructing an almost strongly minimal set which does not have the DMP in any rank preserving expansion, and ask whether this structure is interpretable in a strongly minimal set.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 402.6KB, Terms of use)
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- Publisher copy:
- 10.1016/j.apal.2006.10.002
Authors
- Publisher:
- Elsevier
- Journal:
- Annals of Pure and Applied Logic More from this journal
- Volume:
- 145
- Issue:
- 1
- Pages:
- 96-114
- Publication date:
- 2007-01-01
- DOI:
- ISSN:
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0168-0072
- Language:
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English
- Keywords:
- Pubs id:
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27187
- UUID:
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uuid:91659966-7e75-4fdb-9f7a-e8e8f9422fcf
- Local pid:
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pubs:27187
- Source identifiers:
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27187
- Deposit date:
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2012-12-19
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2007
- Notes:
- Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 21/02/2014).
- Licence:
- Other
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