Abstract
We prove that for a right perfect ring R, then the following hold: if A, B are projective right R-modules and there exist epimorphisms and then A is isomorphic to B. A consequence is the following: if A and B are right R-modules with A, an epimorphic image of B and B, an epimorphic image of A, then the projective cover of A and the projective cover of B are isomorphic.
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