On Crawley modules

Rüdiger Göbel*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This continues recent work in an article by Corner et al. (2004). A particular question was left open: Is it possible to carry over the results concerning the undecidability of torsion-free Crawley groups to modules over the ring of p -adic integers? We will confirm this and also strengthen one of the results in Corner et al. (2004) by replacing the hypothesis of ◇ by CH . For details see the introduction.

Original languageEnglish
Pages (from-to)4211-4218
Number of pages8
JournalCommunications in Algebra
Volume33
Issue number11
DOIs
StatePublished - 1 Oct 2005

Keywords

  • Criteria for freeness
  • Torsion-free modules over the p -adic integers
  • Undecidability

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