Monomorphisms between Cayley-Dickson Algebras
Rings and Algebras
2007-05-23 v1 Algebraic Topology
Abstract
In this paper we study the algebra monomorphisms from A_m =R^(2^m) into A_n=R^(2^n) for 0<m<n where the A_k 's are the Cayley- Dickson algebras over the real numbers. We show that for m>2 there are many different types of monomorphisms and we describe them in terms of the zero divisors in A_n.
Cite
@article{arxiv.math/0512516,
title = {Monomorphisms between Cayley-Dickson Algebras},
author = {Guillermo Moreno},
journal= {arXiv preprint arXiv:math/0512516},
year = {2007}
}
Comments
To appear in Non-associative algebras and its Applications (Chapter 22) CRC Press Taylor and Francis 2005