paper

Some remarks regarding special elements in algebras obtained by the Cayley-Dickson process over Zp

arXiv:2403.18645

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.