含幺Cliford半群的自动性(英文)  

THE AUTOMATICITY OF A CLIFFORD SEMIGROUP WITH IDENTITY

作　　者：黎宏伟[1] 

机构地区：[1]宿迁学院二系,江苏宿迁223800

出　　处：《数学杂志》2013年第6期951-957,共7页Journal of Mathematics

基　　金：Supported by Natural Science Foundation of Suqian City Hall(Z201104)

摘　　要：本文研究了含幺Cliford半群的自动性.利用几何性质与代数性质相结合的方法,获得了在一定条件下,含幺Cliford半群S是自动化的,它的所有H类是自动化的和满足fellow traveller性质这三者之间是等价的,从而推广了群的自动性的一些结果.In this article, the automaticity of a Clifford semigroup with identity is considered.By combining the geometric properties and the algebraic properties, we prove that under a certain condition, the following three conclusions are equivalent, a Clifford semigroup S with identity is automatic, all H classes of S are automatic, and the fellow traveller property is satisfied.

关 键 词：含幺Clifford半群 自动化 fellow traveller性质 正则语言 

分 类 号：O152.7[理学—数学]