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arXiv · 1003.5507

Pr\"ufer- like conditions in the amalgamated duplication of a ring along an ideal

Mohamed Chhiti·Najib Mahdou
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Abstract

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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Mohamed Chhiti, Najib Mahdou. 2010-03-29. Pr\"ufer- like conditions in the amalgamated duplication of a ring along an ideal. https://arxiv.org/abs/1003.5507

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