# Completely coretractable rings

Document Type : Research Paper

Author

Department of Algebra Faculty of Mathematics and Physics, Charles University in Prague,

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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### History

• Receive Date: 26 January 2012
• Revise Date: 02 May 2012
• Accept Date: 06 May 2012