Rachid Chaker, Abdelkarim Boua, "New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions," WSEAS Transactions on Mathematics, vol. 23, pp. 480-487, 2024, DOI:10.37394/23206.2024.23.50
Rachid Chaker, Abdelkarim Boua. New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions.
WSEAS Transactions on Mathematics. 2024;23:480-487. 10.37394/23206.2024.23.50
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions
Authors: ,
Abstract: This 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 $$\mathbb{k}_{λ_{1},λ_{2},λ_{3}}$$ as defined by ring theory. In addition, some properties of these elements are presented. The properties in this article refer to $$\mathbb{k}_{λ_{1},λ_{2},λ_{3}}$$ algebras and sometimes to the 2-parameter algebra $$\mathbb{H}(α,β)$$.
Keywords:
Quaternion algebra, Generalized quaternion algebra, Pell-Lucas quaternions, Generalized Pell-Pell-Lucas quaternions, Order, Centralizer
Pages: 480-487 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #50 DOI: 10.37394/23206.2024.23.50
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