Quaternion algebras and the generalized Fibonacci-Lucas quaternions

2015/01/08 by Cristina Flaut, Flaut, Cristina, Diana Savin +1
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1501.01772

arxiv created 2015/03/16 · arxiv updated 2015/03/17

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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