Lemma on infinitely generated projective modules

Question

Is it true that every finitely generated submodule of a non-finitely generated projective over a (not necessarily commutative!) ring is contained in a proper summand?

(Ideally there's a standard reference for this... :) )

score 6 · Accepted Answer · edited Apr 13 '17 at 12:58

6

This has been answered on MathOverflow here.

edited Apr 13 '17 at 12:58

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answered Feb 23 '12 at 07:02

Mariano Suárez-Álvarez

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Lemma on infinitely generated projective modules

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