Hi all, I came across this problem in a book and I can`t seem to crack it.(adsbygoogle = window.adsbygoogle || []).push({});

It says that if we have an integral domain R and M is any non-principal ideal of R,

then

M is torsion-free of rank 1 and is NOT a free R-module.

Why is this true?

cheers

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# Torsion-free modules

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