Generalized Fibonacci sequences in groupoids

被引：0
|
作者：
Hee Sik Kim
J Neggers
Keum Sook So
机构：
[1] Hanyang University,Department of Mathematics, Research Institute for Natural Sciences
[2] University of Alabama,Department of Mathematics
[3] Hallym University,Department of Mathematics
来源：
Advances in Difference Equations | / 2013卷
关键词：
(generalized) Fibonacci sequences; -groupoids; -algebra; (pre-)idempotent; Smarandache disjoint;
D O I：
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学科分类号：
摘要：
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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