Monomorphisms between Cayley-Dickson Algebras

Details Monomorphisms between Cayley-Dickson Algebras Monomorphisms between Cayley-Dickson Algebras

2005-12-22

arxiv.org/abs/math/0512516v1

Mathematics

Rings and Algebras

To appear in Non-associative algebras and its Applications (Chapter 22) CRC Press Taylor and Francis 2005

Scientific paper

In this paper we study the algebra monomorphisms from A_m =R^(2^m) into
A_n=R^(2^n) for 0the 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.

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