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Quaternion Algebras and Generalized Fibonacci–Lucas Quaternions

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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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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527, Constanta, Romania

    Cristina Flaut & Diana Savin

Authors
  1. Cristina Flaut
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  2. Diana Savin
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Correspondence to Cristina Flaut.

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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

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