Journal article
On a question of Abraham Robinson
- Abstract:
- In this note we give a negative answer to Abraham Robinson’s question of whether a finitely generated extension of an undecidable field is always undecidable. We construct ‘natural’ undecidable fields of transcendence degree 1 over Q all of whose proper finite extensions are decidable. We also construct undecidable algebraic extensions of Q that allow decidable finite extensions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 119.6KB, Terms of use)
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- Publisher copy:
- 10.1007/s11856-016-1367-9
Authors
- Publisher:
- Hebrew University Magnes Press
- Journal:
- Israel Journal of Mathematics More from this journal
- Volume:
- 214
- Issue:
- 2
- Pages:
- 931-943
- Publication date:
- 2016-09-07
- Acceptance date:
- 2015-07-02
- DOI:
- EISSN:
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1565-8511
- ISSN:
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0021-2172
- Keywords:
- Pubs id:
-
pubs:430693
- UUID:
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uuid:cd085f2a-30c2-41a5-9d56-106d218b8279
- Local pid:
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pubs:430693
- Source identifiers:
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430693
- Deposit date:
-
2017-09-14
- ARK identifier:
Terms of use
- Copyright holder:
- Hebrew University of Jerusalem
- Copyright date:
- 2016
- Notes:
- Copyright © 2016 Hebrew University of Jerusalem. This is the accepted manuscript version of the article. The final version is available online from Hebrew University Magnes Press at: https://doi.org/10.1007/s11856-016-1367-9
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