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Burchnall-Chaundy Theory for Ore Extensions
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Lund University, Sweden. (Mathematics and Applied Mathematics)ORCID iD: 0000-0003-3931-7358
2014 (English)In: Algebra, Geometry and Mathematical Physics / [ed] Makhlouf, Abdenacer; Paal, Eugen; Silvestrov, Sergei D.; Stolin, Alexander, Springer Berlin Heidelberg , 2014, Vol. 85, 61-70 p.Chapter in book (Refereed)
Abstract [en]

We begin by reviewing a classical result on the algebraic dependence of commuting elements in the Weyl algebra. We proceed by describing generalizations of this result to various classes of Ore extensions, including both results that are already known and one new result.

Place, publisher, year, edition, pages
Springer Berlin Heidelberg , 2014. Vol. 85, 61-70 p.
Series
Springer Proceedings in Mathematics & Statistics, 85
National Category
Mathematics Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-27265DOI: 10.1007/978-3-642-55361-5_4ISBN: 978-3-642-55360-8 (print)OAI: oai:DiVA.org:mdh-27265DiVA: diva2:775377
Available from: 2015-01-02 Created: 2015-01-02 Last updated: 2016-12-27Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1007/978-3-642-55361-5_4

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