Prove that every module $M$ is epic image of a projective module.

Question

My Proof: We knew that every module $M$ is epic image of a free module and a free module is a projective module, hence every module $M$ is epic image of a projective module.

Is that true?! If false, please give me a hint.

score 2 · Accepted Answer · answered Oct 08 '13 at 19:50

2

This CW answer intends to remove the question from the unanswered queue.

As already noted in the comments, your proof is right.

answered Oct 08 '13 at 19:50

Julian Kuelshammer

9,670

Prove that every module $M$ is epic image of a projective module.

1 Answers1