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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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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Publication date:
2013-09-27
URN:
uuid:0deb98c6-4547-488d-adcf-71b3f142be49
Source identifiers:
430693
Local pid:
pubs:430693
Keywords:

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