Revista Matemática Iberoamericana

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Volume 19, Issue 2, 2003, pp. 385–392
DOI: 10.4171/RMI/353

Published online: 2003-08-31

Nonassociative Algebras: Some Applications

Santos González[1] and Consuelo Martínez[2]

(1) Universidad de Oviedo, Spain
(2) Universidad de Oviedo, Spain

Nonassociative algebras can be applied, either directly or using their particular methods, to many other branches of Mathematics and other Sciences. Here emphasis will be given to two concrete applications of nonassociative algebras. In the first one, an application to group theory in the line of the Restricted Burnside Problem will be considered. The second one opens a door to some applications of non-associative algebras to Error correcting Codes and Cryptography.

Keywords: Non-associative algebra, group, cryptography, Galois ring

González Santos, Martínez Consuelo: Nonassociative Algebras: Some Applications. Rev. Mat. Iberoam. 19 (2003), 385-392. doi: 10.4171/RMI/353