Monomorphisms between Cayley-Dickson Algebras

2005/12/22 by Guillermo Moreno, Moreno, Guillermo
Mathematics · #17A99 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic and Geometric Analysis #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0512516

openalex publication_date 2005/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the algebra monomorphisms from A_m =R^(2^m) into A_n=R^(2ⁿ) for 02 there are many different types of monomorphisms and we describe them in terms of the zero divisors in A_n.

Related

• The zero divisors of the Cayley-Dickson algebras over the real numbers
• About some properties of algebras obtained by the Cayley-Dickson process
• Constructing zero divisors in the higher dimensional Cayley-Dickson algebras
• Structure of the Cayley-Dickson algebras
• Division algebras that generalize Dickson semifields