Question

In: Advanced Math

A finitely generated module is projective if and only if it is a direct summand of...

A finitely generated module is projective if and only if it is a direct summand of a finitely generated free module. I am having trouble grasping the "finitely generated" part.

Solutions

Expert Solution

P is R module then P is projective iff P is isomorphic to direct summand of free R module.


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