HOPF THEOREM ABOUT REAL DIVISION ALGEBRAS

Abstract

This article aims to present a demonstration for an important result presented by the mathematician Hopf, em 1940, in which the dimension of a division algebra over reals is determined.  

Author Biographies

Lia Nojosa Sena
Master degree in Mathematics from the Federal University of Ceará.
Rubens Cainan Saboia Monteiro
Master degree 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.

HATCHER, A. Algebraic topology, 2001. Disponível em: <AT.dvi (cornell.edu) > Acesso em: 24 de abril de 2023.

How to Cite

Nojosa Sena, L., & Saboia Monteiro, R. C. (2023). HOPF THEOREM ABOUT REAL DIVISION ALGEBRAS. RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(7), e473446. https://doi.org/10.47820/recima21.v4i7.3446