Abstract
In this paper, we introduce the generalized Fibonacci–Lucas quaternions and we prove that the set of these elements is an order—in the sense of ring theory—of a quaternion algebra. Moreover, we investigate some properties of these elements.
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Flaut, C., Savin, D. Quaternion Algebras and Generalized Fibonacci–Lucas Quaternions. Adv. Appl. Clifford Algebras 25, 853–862 (2015). https://doi.org/10.1007/s00006-015-0542-0
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DOI: https://doi.org/10.1007/s00006-015-0542-0