Prüfer-Like Conditions in Subring Retracts and Applications
arXiv:0712.0128
Abstract
In this paper, 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.