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arXiv · 1607.03178

Quasi-duo differential polynomial rings

Mai Hoang Bien·Johan Öinert
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Abstract

In this article we give a characterization of left (right) quasi-duo differential polynomial rings. In particular, we show that a differential polynomial ring is left quasi-duo if and only if it is right quasi-duo. This yields a partial answer to a question posed by Lam and Dugas in 2005. We provide non-trivial examples of such rings and give a complete description of the maximal ideals of an arbitrary quasi-duo differential polynomial ring. Moreover, we show that there is no left (right) quasi-duo differential polynomial ring in several indeterminates.

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Mai Hoang Bien, Johan Öinert. 2016-07-11. Quasi-duo differential polynomial rings. https://arxiv.org/abs/1607.03178

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