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Centralizers and Pseudo-Degree Functions
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-3931-7358
2016 (English)In: Engineering Mathematics II: Algebraic, Stochastic and Analysis Structures for Networks, Data Classification and Optimization / [ed] Silvestrov, Sergei and Rančić, Milica, Springer, 2016, 65-73 p.Chapter in book (Refereed)
Abstract [en]

This paper generalizes a proof of certain results by Hellström and Silvestrov on centralizers in graded algebras. We study centralizers in certain algebras with valuations. We prove that the centralizer of an element in these algebras is a free module over a certain ring. Under further assumptions we obtain that the centralizer is also commutative.

Place, publisher, year, edition, pages
Springer, 2016. 65-73 p.
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 179
Keyword [en]
Commuting elements, Valuations, Algebraic Dependence
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33193DOI: 10.1007/978-3-319-42105-6_5Scopus ID: 2-s2.0-85012917148ISBN: 978-3-319-42104-9 (print)ISBN: 978-3-319-42105-6 (print)OAI: oai:DiVA.org:mdh-33193DiVA: diva2:974170
Conference
Engineering Mathematics II
Available from: 2016-09-25 Created: 2016-09-21 Last updated: 2017-03-02Bibliographically approved

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