Whitehead modules over large principal ideal domains

Paul C. Eklof; Saharon Shelah

doi:10.1515/form.2002.021

Whitehead modules over large principal ideal domains

Paul C. Eklof^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider the Whitehead problem for principal ideal domains of large size. It is proved, in ZFC, that some p.i.d.'s of size ≥ א₂ have non-free Whitehead modules even though they are not complete discrete valuation rings.

Original language	English
Pages (from-to)	477-482
Number of pages	6
Journal	Forum Mathematicum
Volume	14
Issue number	3
DOIs	https://doi.org/10.1515/form.2002.021
State	Published - 2002

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abstract = "We consider the Whitehead problem for principal ideal domains of large size. It is proved, in ZFC, that some p.i.d.'s of size ≥ א2 have non-free Whitehead modules even though they are not complete discrete valuation rings.",

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Whitehead modules over large principal ideal domains

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