Monomorphisms between Cayley-Dickson Algebras
Abstract
In this paper we study the algebra monomorphisms from Am =R(2m) into An=R(2n) for 0<m<n where the Ak '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 An.
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