Journal article icon

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

Actions


Access Document


Files:
Publisher copy:
10.1007/s11856-016-1367-9

Authors


More by this author
Institution:
University of Oxford
Oxford college:
Lady Margaret Hall
Role:
Author
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:
1565-8511
ISSN:
0021-2172
Keywords:
Pubs id:
pubs:430693
UUID:
uuid:cd085f2a-30c2-41a5-9d56-106d218b8279
Local pid:
pubs:430693
Source identifiers:
430693
Deposit date:
2017-09-14

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP