New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2024-07-19 DOI:10.37394/23206.2024.23.50

Rachid Chaker, Abdelkarim Boua

引用次数: 0

Abstract

his work presents a new sequence, generalized Pell-Pell-Lucas quaternions, we prove that the set of these elements forms an order of generalized quaternions with 3-parameters kλ1,λ2,λ3 as defined by ring theory. In addition, some properties of these elements are presented. The properties in this article refer to kλ1,λ2,λ3 algebras and sometimes to the 2-parameter algebra H(α, β).

查看原文本刊更多论文

涉及广义佩尔佩尔卢卡斯四元数的广义四元数代数新成果

我们证明了这些元素的集合构成了环理论定义的具有 3 个参数 kλ1,λ2,λ3 的广义四元数的阶。此外，还介绍了这些元素的一些性质。本文中的性质指的是 kλ1,λ2,λ3 代数，有时也指 2 参数代数 H(α,β)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.