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Quasi-duo differential polynomial rings
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0001-8095-0820
(English)Manuscript (preprint) (Other academic)
Abstract [en]

In this article we give a characterization of left (right) quasi-duo differential polynomial rings. 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.

Keyword [en]
Ore extension, differential polynomial ring, quasi-duo ring, maximal ideal
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-12923OAI: oai:DiVA.org:bth-12923DiVA: diva2:953537
Note

This research was supported by the Crafoord Foundation, research grant no. 20150871.

Available from: 2016-08-18 Created: 2016-08-18 Last updated: 2016-08-30Bibliographically approved

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