Generalized Fibonacci sequences in groupoids
Hee Sik Kim, J. Neggers, Keum Sook So · Advances in Difference Equations · 2013
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. MSC:11B39, 20N02, 06F35.