2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106355In 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.To appear in Non-associative algebras and its Applications (Chapter 22) CRC Press Taylor and Francis 2005Rings and AlgebrasAlgebraic Topology17A99text