Monomorphisms between Cayley-Dickson Algebras
Abstract
Description
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.
To appear in Non-associative algebras and its Applications (Chapter 22) CRC Press Taylor and Francis 2005
To appear in Non-associative algebras and its Applications (Chapter 22) CRC Press Taylor and Francis 2005