Ore Extensions over Duo Rings

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We show that there exist noncommutative Ore extensions in which every right ideal is two-sided. This answers a problem posed by Marks in Duo Rings and Ore extensions, J.Algebra 280(2), (2004). We also provide an easy construction of one sided duo rings.

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Rings and Algebras, 16S32, 16D25

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http://salesiana.dossiersoluciones.com/handle/123456789/72991

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410521
 http://arxiv.org/abs/math/0410521

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arXiv