On a question of Abraham Robinson

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 const...

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Bibliographic Details
Main Author: Koenigsmann, J
Format: Journal article
Published: Hebrew University Magnes Press 2016