Fibonacci sequences in groupoids

被引：10

作者：

Han, Jeong Soon ^{[2
]}

Kim, Hee Sik ^{[1
]}

Neggers, Joseph ^{[3
]}

机构：

[1] Hanyang Univ, Dept Math, Res Inst Nat Sci, Seoul 133791, South Korea

[2] Hanyang Univ, Dept Appl Math, Ahnsan 426791, South Korea

[3] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

fibonacci sequences; groupoid; flexible; wrapped around;

D O I：

10.1186/1687-1847-2012-19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：7