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Original Articles

On Generalized Perfect Rings

, , &
Pages 953-963 | Received 29 Oct 2005, Published online: 28 Mar 2007
 

Abstract

We call a ring R “right generalized perfect” if every right R-module is a superfluous epimorphic image of a flat right R-module, that is, every right R-module has a flat cover. We shall study such rings and find some classes of modules which have flat covers.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The authors would like to thank Professor R. Wisbauer and E. Momtahan for their helpful suggestions. The authors also are grateful to the referees for valuable comments.

Notes

Communicated by R. Wisbauer.

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