Anisimov's Theorem for inverse semigroups

被引：3

作者：

Kambites, Mark ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2015年 / 25卷 / 1-2期

关键词：

Inverse semigroups; idempotent problem; regular languages; WORD PROBLEM; AUTOMATA;

D O I：

10.1142/S0218196715400032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The idempotent problem of a finitely generated inverse semigroup is the formal language of all words over the generators representing idempotent elements. This paper proves that a finitely generated inverse semigroup with regular idempotent problem is necessarily finite. This answers a question of Gilbert and Noonan Heale, and establishes a generalization to inverse semigroups of Anisimov's Theorem for groups.

引用

页码：41 / 49

页数：9

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