March 27, 2024Open Access

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

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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.

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Flaut et al. (Wed,) studied this question.

synapsesocial.com/papers/68e7230db6db64358769d44b https://doi.org/https://doi.org/10.48550/arxiv.2403.18645

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