52 citations · 60 across the 7 of their papers we have counts for
7 papers
Constructing zero divisors in the higher dimensional Cayley-Dickson algebras
Guillermo Moreno
In this paper we give new methods to construct zero divisors in A_n =R^(2^n) the Cayley_Dickson algebras over the real numbers, for n larger than 4, and we also relate the set of z…
Monomorphisms between Cayley-Dickson Algebras
Guillermo Moreno
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…
The Exponential Map on the Cayley-Dickson algebras
Guillermo Moreno
we study the exponential map for A_n = R^2^n, the Cayley_Dickson algebras for n bigher than 1,wich generalize the Complex exponential map to Quaternions,Octonions and so forth. As…
Alternative elements in the Cayley-Dickson algebras
Guillermo Moreno
An element a in A_n, the Cayley-Dickson algebra is alternative if (a,a,x)=0 for all x. In this paper we characterise such elements for n>3.To do so,we prove first the so called Yui…
Hopf construction map in higher dimensions
Guillermo Moreno
In this paper, we study the zero set of the Hopf construction map F_n : A_n_ x A_n --> A_n x A_0 given by F_n (x, y) = (2xy, | y|^2 - |x|^2) for n >3 where A_n is the Cayley-Dickso…
The zero divisors of the Cayley-Dickson algebras over the real numbers
R. Guillermo Moreno
In this paper we describe algebraically the zero divirsors of the Cayley- Dickson algebras $\a_{n}=\erre^{2^n}$ for over the real numbers.