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

Categories

Keywords

Reprint years

DOI

10.1007/bf01630806

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,143

External links

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

Through your library

My notes

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.
Abelian groups definable in P-adically closed fields.Will Johnson & Y. A. O. Ningyuan - forthcoming - Journal of Symbolic Logic:1-22.
One-dimensional subgroups and connected components in non-Abelian P-adic definable groups.William Johnson & Ningyuan Yao - forthcoming - Journal of Symbolic Logic:1-19.
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.
On Groups with Definable F-Generics Definable in P-Adically Closed Fields.Anand Pillay & Y. A. O. Ningyuan - 2023 - Journal of Symbolic Logic 88 (4):1334-1353.
Definable groups in dense pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2022 - Archive for Mathematical Logic 61 (3):345-372.

Analytics

Added to PP
2013-11-23

Downloads
49 (#488,643)

6 months
8 (#498,818)

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.

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