Nondefinability of Rings of Integers in Most Algebraic Fields

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We show that the set of algebraic extensions F of Q in which Z or the ring of integers OF are definable is meager in the set of all algebraic extensions.

Details

Original languageEnglish
Pages (from-to)589-592
Number of pages4
JournalNotre Dame Journal of Formal Logic
Volume62
Issue number3
Publication statusPublished - 1 Aug 2021
Peer-reviewedYes

External IDs

Scopus 85117702174
Mendeley bab9415f-b5db-313b-a965-0bd1ce5bca91

Keywords

ASJC Scopus subject areas

Keywords

  • Definability, Pseudo-algebraically closed fields