Generalized Fibonacci sequences in groupoids

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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract

In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci sequences.

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Keywords
(generalized) Fibonacci sequences, (L-4,LRL2,R-4)-groupoids, d/BCK-algebra, (pre-)idempotent, Smarandache disjoint, Mathematics, Applied, Mathematics
Citation
Kim, H., Neggers, J., So, K. (2013): Generalized Fibonacci Sequences in Groupoids. Advances in Difference Equations. Volume 26.