Journal article
On a question of Abraham Robinson's
- Abstract:
- In this note we give a negative answer to Abraham Robinson's question 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.
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Authors
- Publication date:
- 2013-09-27
- Keywords:
- Pubs id:
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pubs:430693
- UUID:
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uuid:0deb98c6-4547-488d-adcf-71b3f142be49
- Local pid:
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pubs:430693
- Source identifiers:
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430693
- Deposit date:
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2013-11-17
- ARK identifier:
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- Copyright date:
- 2013
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