Completely coretractable rings
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Abstract:
A 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.
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Journal title
volume 39 issue 3
pages 523- 528
publication date 2013-07-01
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