Prüfer-Like Conditions in Subring Retracts and Applications

Details Prüfer-Like Conditions in Subring Retracts and Applications Prüfer-Like Conditions in Subring Retracts and Applications

2007-12-02

arxiv.org/abs/0712.0128v1

Mathematics

Commutative Algebra

Scientific paper

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

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