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Generalized Fibonacci Sequences in Groupoids

Generalized Fibonacci Sequences in Groupoids

Kim, Heek Sik; Neggers, J.; So, Keum Sook
URI: http://ir.ua.edu/handle/123456789/7972
Date: 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.

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