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Burchnall-Chaundy annihilating polynomials for commuting elements in Ore extension rings
Lunds universitet.
Mälardalen University, School of Education, Culture and Communication. (Matematik/tillämpad matematik)ORCID iD: 0000-0003-4554-6528
2012 (English)In: Journal of Physics: Conference Series, ISSN 1742-6588, Vol. 346, no 1Article in journal (Refereed) Published
Abstract [en]

In this article further progress is made in extending the Burchnall-Chaundy type determinant construction of annihilating polynomial for commuting elements to broader classes of rings and algebras by deducing an explicit general formula for the coefficients of the annihilating polynomial obtained by the Burchnall-Chaundy type determinant construction in Ore extension rings. It is also demonstrated how this formula can be used to compute the annihilating polynomials in several examples of commuting elements in Ore extensions. Also it is demonstrated that additional properties which may be possessed by the endomorphism, such as for example injectivity, may influence strongly the annihilating polynomial.

Place, publisher, year, edition, pages
2012. Vol. 346, no 1
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-17934DOI: 10.1088/1742-6596/346/1/012021ISI: 000305176100021Scopus ID: 2-s2.0-84858195933OAI: oai:DiVA.org:mdh-17934DiVA, id: diva2:589148
Conference
6th Baltic-Nordic Workshop on Algebra, Geometry, Mathematical Physics (AGMP) Location: Sven Loven Ctr Marine Sci, SWEDEN Date: OCT 25-31, 2010
Available from: 2013-01-17 Created: 2013-01-17 Last updated: 2014-01-10Bibliographically approved

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Silvestrov, Sergei

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