Generalized Fibonacci sequences in groupoids

Title
Generalized Fibonacci sequences in groupoids
Author
김희식
Keywords
(generalized) Fibonacci sequences; (L-4,LRL2,R-4)-groupoids; d/BCK-algebra; (pre-)idempotent; Smarandache disjoint
Issue Date
2013-02
Publisher
Springer International Publishing AG
Citation
Advances in Difference Equations, Feb 2013, 2013(1), P.1-10
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.
URI
http://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2013-26http://hdl.handle.net/20.500.11754/51793
ISSN
1687-1839; 1687-1847
DOI
10.1186/1687-1847-2013-26
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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