English

Quaternion algebras and the generalized Fibonacci-Lucas quaternions

Rings and Algebras 2015-03-17 v2

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.

Keywords

Cite

@article{arxiv.1501.01772,
  title  = {Quaternion algebras and the generalized Fibonacci-Lucas quaternions},
  author = {Cristina Flaut and Diana Savin},
  journal= {arXiv preprint arXiv:1501.01772},
  year   = {2015}
}