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Abstract
A module M is called co-epi-retractable if it contains a copy of each of its factor modules. It is proved that a ring R is co-pri (i.e., R R is co-epi-retractable) and reduced if and only if R is a finite product of division rings. We show that a commutative ring is co-pri if and only if it is a finite product of special rings. Duality-like connections are established for epi-retractable and co-epi-retractable modules. It is shown that if R is a pli ring and R R is self-cogenerator, then R is co-pri.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The author is grateful to the referee for the careful reading of this article and a lot of useful suggestions. Research of the author was partially supported by IUT (CEAMA).
This research was partially supported by IPM, grant no. 84160035.
Notes
Communicated by T. Albu.