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Fibonacci sequences in groupoids
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DOI：10.1186/1687-1847-2012-19.png)
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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. 2000 Mathematics Subject Classification: 20N02; 11B39.
Keyword:
fibonacci sequences
groupoid
flexible
wrapped around
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3.1
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4.8K
被引数:
7.4K
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