Some remarks regarding special elements in algebras obtained by the Cayley-Dickson process over Zp
Cristina Flaut, Andreea Baias
TL;DR
Some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over Zp are provided and a method to encrypt plain texts, by using invertible elements in some of these algebras is presented.
Abstract
In this paper we provide some properties of k-potent elements in algebras obtained by the Cayley-Dickson process over Zp. Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over Z3 and we present a method to encrypt plain texts, by using invertible elements in such algebras.