Monomorphisms between Cayley-Dickson Algebras

Research paper by Guillermo Moreno

Indexed on: 21 Dec '05Published on: 21 Dec '05Published in: Mathematics - Rings and Algebras


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.