Quaternion algebras and the generalized Fibonacci-Lucas quaternions
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elementsfibonacci-lucasgeneralizedquaternionquaternionsalgebraalgebrasintroduce
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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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