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 $$\mathbb{H}(α,β)$$.