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Some remarks about Fibonacci elements in an arbitrary algebra
Cristina Flaut, Vitalii Shpakivskyi
In this paper, we prove some relations between Fibonacci elements in an arbitrary algebra. Moreover, we define imaginary Fibonacci quaternions and imaginary Fibonacci octonions and…
math.RA2015
Quaternion algebras and the generalized Fibonacci-Lucas quaternions
Cristina Flaut, Diana Savin
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…