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On companion sequences associated with Leonardo quaternions : Applications over finite fields

Year: 2025

Type: article

Abstract: It is known that the quaternion algebras are central simple algebras and also clifford algebras. In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quaternions and derive several fundamental properties of these numbers. Furthermore, we investigate some applications related to companion sequences associated with Leonardo quaternions. In particular, we determine Lucas-Leonardo quaternions and Francois quaternions, which are zero divisors and invertible elements in the quaternion algebra over certain finite fields.

Source: Journal of Information and Optimization Sciences

DOI: 10.47974/jios-1836

Authors: Diana Savin, Elif Tan

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4412520083

FWCI: 1.893

Cites:

Cited by: 2

Related to: 10