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Original Articles

Prüfer-Like Conditions in Subring Retracts and Applications

, &
Pages 47-55 | Received 08 Oct 2007, Published online: 09 Oct 2009
 

Abstract

In this article, we consider five possible extensions of the Prüfer domain notion to the case of commutative rings with zero divisors. We investigate the transfer of these Prüfer-like properties between a commutative ring and its subring retract. Our results generate new families of examples of rings subject to a given Prüfer-like conditions.

ACKNOWLEDGMENTS

The authors would like to express their sincere thanks for the referee for his/her helpful suggestions and comments, which have greatly improved this article.

Notes

Communicated by I. Swanson.

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