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Communications in Algebra Volume 37, 2009 - Issue 1
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Original Articles

Prüfer-Like Conditions in Subring Retracts and Applications

Chahrazade Bakkari Department of Mathematics, Faculty of Science and Technology of Fez, University S. M. Ben Abdellah Fez, Morocco
,
Najib Mahdou Department of Mathematics, Faculty of Science and Technology of Fez, University S. M. Ben Abdellah Fez, MoroccoCorrespondence[email protected]
&
Hakima Mouanis Department of Mathematics, Faculty of Science of Rabat, University Mohammed V Rabat, Morocco
Pages 47-55 | Received 08 Oct 2007, Published online: 09 Oct 2009
 
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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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