English

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

Rings and Algebras 2025-03-24 v2

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.

Keywords

Cite

@article{arxiv.2403.18645,
  title  = {Some remarks regarding special elements in algebras obtained by the Cayley-Dickson process over Zp},
  author = {Cristina Flaut and Andreea Baias},
  journal= {arXiv preprint arXiv:2403.18645},
  year   = {2025}
}