Automatic semigroups with subsemigroups of finite Rees index

被引：15
|
作者：
Hoffmann, M
Thomas, RM
Ruskuc, N
机构：
[1] Univ St Andrews, Inst Math, St Andrews KY16 9SS, Fife, Scotland
[2] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2002年 / 12卷 / 03期
关键词：
Rees index; automatic semigroups; regular languages;
D O I：
10.1142/S0218196702000833
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of automaticity has been widely studied in groups and some progress has been made in understanding this notion in the wider context of semigroups. The purpose of this paper is to study the connections between the automaticity of semigroups S and T where T is a subsemigroup of finite Rees index in S.
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页码：463 / 476
页数：14
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