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

Nojosa Sena, L., de Andrade Dantas, I., & Cainan Saboia Monteiro , R. (2023). THE OCTONIONS ALGEBRA . RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(6), e463315. https://doi.org/10.47820/recima21.v4i6.3315