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

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

2010-03-29

arxiv.org/abs/1003.5507v2

Mathematics

Commutative Algebra

This paper has been withdrawn by the author due to a gap in the proof of the main result

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 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.

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