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, $J(R)=0$?
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, $J(R)=0$?