THE OCTONIONS ALGEBRA

Authors

DOI:

https://doi.org/10.47820/recima21.v4i6.3315

Keywords:

Division algebras, No-associative algebras, Alternative algebras

Abstract

This article aims to present a construction of ctonions algebra together with the study of several properties of this algebra. We will present a new way of constructing the quaternions algebra ℍ using the Cayley-Dickson doubling procedure which helps in the construction of the octonions algebra.

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Author Biographies

  • Lia Nojosa Sena
    Master in Mathematics from the Federal University of Ceará.
  • Iago de Andrade Dantas
    Professor at the Federal Institute of Ceará.

     

  • Rubens Cainan Saboia Monteiro
    Master in Mathematics from the Federal University of Ceará.

     

References

EBBINGHAUS, H.-D.; HERMES, H.; HIRZEBRUCH, F.; KOECHER, M.; MAINZER, K.; NEUKIRCH, J.; PRESTEL, A.; REMMERT, R. Graduate Texts in Mathematics, Readings in Mathematics: Numbers. New York: Springer, 1991.

FELZENSZWALB, B. Álgebra de dimensão finitas. Rio de Janeiro: IMPA, 1979.

KANTOR, I. L; SOLODOVNIKOV, A. S. Hypercomplex Numbers: An elementary introduction to Algebras. New York, 1989.

Published

18/06/2023

How to Cite

THE OCTONIONS ALGEBRA . (2023). RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(6), e463315. https://doi.org/10.47820/recima21.v4i6.3315