文章基本信息

标题：Fibonacci sequences in groupoids
本地全文：下载
作者：Jeong Soon Han ; Hee Sik Kim ; Joseph Neggers 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：19
DOI：10.1186/1687-1847-2012-19
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：fibonacci sequences ; groupoid ; flexible ; wrapped around