Geodesic
Endomorphism rings of free modules over perfect rings
Sbornik. Mathematics, Tome 17 (1972) no. 1, pp. 138-147

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We find a condition on the endomorphism rings of free right $R$-modules which is equivalent to $R$ being a right perfect ring. We also obtain different characterizations of right perfect rings with nonzero right annihilators of the proper left ideals of finite descent. Bibliography: 15 titles. 
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     author = {G. M. Brodskii},
     title = {Endomorphism rings of free modules over perfect rings},
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G. M. Brodskii. Endomorphism rings of free modules over perfect rings. Sbornik. Mathematics, Tome 17 (1972) no. 1, pp. 138-147. http://geodesic.mathdoc.fr/item/SM_1972_17_1_a6/