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The Relation Between the Companion Matrix and the Companion Polynomial in R-4 Algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F18%3A43915523" target="_blank" >RIV/60461373:22340/18:43915523 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00006-018-0892-5" target="_blank" >https://link.springer.com/article/10.1007/s00006-018-0892-5</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00006-018-0892-5" target="_blank" >10.1007/s00006-018-0892-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Relation Between the Companion Matrix and the Companion Polynomial in R-4 Algebras

  • Original language description

    We prove that the quaternionic companion polynomial is identical with the characteristic polynomial of the complex matrix which is obtained by isomorphism from the quaternionic companion matrix. And we show that this is also true for the other three noncommutative algebras in which include the coquaternions.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Advances in Applied Clifford Algebras

  • ISSN

    0188-7009

  • e-ISSN

  • Volume of the periodical

    28

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

    000440079500001

  • EID of the result in the Scopus database

    2-s2.0-85051118245