Talk:Torsionless module

Free modules are not reflexive

For a free module being reflexive is equivalent to being finitely generated. AlexShamov (talk) 05:23, 13 October 2014 (UTC)[reply]

Good catch, noticing the problematic claim about reflexivity. I think, rather than cramming it into a parenthetical comment, it should just be a separate line. I did so in an edit, but I forgot to explain myself in the edit summary. Rschwieb (talk) 13:26, 13 October 2014 (UTC)[reply]

Surjectivity

What about modules whose canonical map to the double dual is surjective? Is there a name for these modules? GeoffreyT2000 (talk) 14:17, 16 May 2015 (UTC)[reply]