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Let $R$ be a ring and assume that for every left $R$-module ${}_RM$, if $M$ has a projective cover, then $M$ is projective.

Can someone help me prove that in that case, $J(R)=0$?

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    You could team up with user Arash and study properties of the radical together :)2010-12-16
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    @sara123: You don't have to delete your questions to change them; you can *edit* them.2010-12-16

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