On fields definable inQ p

Archive for Mathematical Logic 29 (1):1-7 (1989)
  Copy   BIBTEX

Abstract

We prove that any field definable in (Q p, +, ·) is definably isomorphic to a finite extension ofQ p

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 103,449

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A note on groups definable in the p -adic field.Anand Pillay & Ningyuan Yao - 2019 - Archive for Mathematical Logic 58 (7-8):1029-1034.
A note on fsg$\text{fsg}$ groups in p‐adically closed fields.Will Johnson - 2023 - Mathematical Logic Quarterly 69 (1):50-57.
Topologizing Interpretable Groups in p-Adically Closed Fields.Will Johnson - 2023 - Notre Dame Journal of Formal Logic 64 (4):571-609.
Implicit Definability of Subfields.Akito Tsuboi & Kenji Fukuzaki - 2003 - Notre Dame Journal of Formal Logic 44 (4):217-225.
On non-compact p-adic definable groups.Will Johnson & Ningyuan Yao - 2022 - Journal of Symbolic Logic 87 (1):188-213.
Definably complete structures are not pseudo-enumerable.Antongiulio Fornasiero - 2011 - Archive for Mathematical Logic 50 (5-6):603-615.

Analytics

Added to PP
2013-11-23

Downloads
49 (#468,991)

6 months
8 (#390,329)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

On non-compact p-adic definable groups.Will Johnson & Ningyuan Yao - 2022 - Journal of Symbolic Logic 87 (1):188-213.
A note on fsg$\text{fsg}$ groups in p‐adically closed fields.Will Johnson - 2023 - Mathematical Logic Quarterly 69 (1):50-57.
Topologizing Interpretable Groups in p-Adically Closed Fields.Will Johnson - 2023 - Notre Dame Journal of Formal Logic 64 (4):571-609.
A note on groups definable in the p -adic field.Anand Pillay & Ningyuan Yao - 2019 - Archive for Mathematical Logic 58 (7-8):1029-1034.

View all 10 citations / Add more citations

References found in this work

Une théorie de galois imaginaire.Bruno Poizat - 1983 - Journal of Symbolic Logic 48 (4):1151-1170.

Add more references