Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Completely coretractable rings523528428ENJ.ZemlickaDepartment of Algebra
Faculty of Mathematics and Physics, Charles University in Prague,Journal Article20120126A module $M$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $M$ into $M$. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a finite product of local right and left perfect rings.http://bims.iranjournals.ir/article_428_5da7b8715fe169e19d3b38146e66c250.pdf