Prüfer- like conditions in the amalgamated duplication of a ring along an ideal

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 ring $R$ and $R\bowtie I$; his amalgamated duplication along some ideal $I$, and then generate new and original families of rings with these properties.

arXiv commentThis paper has been withdrawn by the author due to a gap in the proof of the main result