Division rings whose vector spaces are pseudofinite

Lou van den Dries, Vinicius Cifú Lopes

Research output: Contribution to journalArticle

Abstract

Vector spaces over fields are pseudofinite, and this remains true for vector spaces over division rings that are finite-dimensional over their center. We also construct a division ring such that the nontrivial vector spaces over it are not pseudofinite, using Richard Thompson's group F. The idea behind the construction comes from a first-order axiomatization of the class of division rings all whose nontrivial vector spaces are pseudofinite.

Original languageEnglish (US)
Pages (from-to)1087-1090
Number of pages4
JournalJournal of Symbolic Logic
Volume75
Issue number3
DOIs
StatePublished - Sep 1 2010

ASJC Scopus subject areas

  • Philosophy
  • Logic

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