Fibonacci sequences in groupoids

Title
Fibonacci sequences in groupoids
Author
김희식
Keywords
fibonacci sequences; groupoid; flexible; wrapped around
Issue Date
2012-02
Publisher
SPRINGER
Citation
ADVANCES IN DIFFERENCE EQUATIONS,2012, 7p.
Abstract
In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of interest to decide when these two ways are equivalent, i.e., when they produce the same sequence for the same inputs. The problem has a simple solution when the groupoid is flexible. The Fibonacci sequences for several groupoids and for the class of groups as special cases are also discussed.
URI
https://link.springer.com/article/10.1186/1687-1847-2012-19http://hdl.handle.net/20.500.11754/53114
ISSN
1687-1839; 1687-1847
DOI
10.1186/1687-1847-2012-19
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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