On Crawley modules

Rüdiger Göbel; Saharon Shelah

doi:10.1080/00927870500261520

On Crawley modules

Rüdiger Göbel^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	4211-4218
Number of pages	8
Journal	Communications in Algebra
Volume	33
Issue number	11
DOIs	https://doi.org/10.1080/00927870500261520
State	Published - 1 Oct 2005

Keywords

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

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10.1080/00927870500261520

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KW - Undecidability

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On Crawley modules

Abstract

Keywords

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