Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/48042

TitlePolynomials over quaternions and coquaternions: a unified approach
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
KeywordsCoquaternions
Polynomials
Quaternions
Zeros
Issue date2017
PublisherSpringer Verlag
JournalLecture Notes in Computer Science (including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Abstract(s)This paper aims to present, in a unified manner, results which are valid on both the algebras of quaternions and coquaternions and, simultaneously, call the attention to the main differences between these two algebras. The rings of one-sided polynomials over each of these algebras are studied and some important differences in what concerns the structure of the set of their zeros are remarked. Examples illustrating this different behavior of the zero-sets of quaternionic and coquaternionic polynomials are also presented.
TypeConference paper
URIhttps://hdl.handle.net/1822/48042
ISBN9783319623948
DOI10.1007/978-3-319-62395-5_26
ISSN0302-9743
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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