The Cayley-Dickson process for dialgebras
Rings and Algebras
2012-09-13 v1
Abstract
We adapt the algorithm of Kolesnikov and Pozhidaev, which converts a polynomial identity for algebras into the corresponding identities for dialgebras, to the Cayley-Dickson doubling process. We obtain a generalization of this process to the setting of dialgebras, establish some of its basic properties, and construct dialgebra analogues of the quaternions and octonions.
Cite
@article{arxiv.1209.2645,
title = {The Cayley-Dickson process for dialgebras},
author = {R. Felipe-Sosa and R. Felipe and J. Sanchez-Ortega and M. R. Bremner and M. K. Kinyon},
journal= {arXiv preprint arXiv:1209.2645},
year = {2012}
}
Comments
18 pages