Tight inverse semigroups that are not bisimple

被引：1

作者：

Schein, BM ^{[1
]}

Wu, HY ^{[1
]}

机构：

[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

来源：

SEMIGROUP FORUM | 2003年 / 67卷 / 03期

关键词：

inverse semigroup; congruence; bisimple;

D O I：

10.1007/s00233-002-0002-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A semigroup is tight if each of its congruences is uniquely determined by each of the congruence classes. Bisimple inverse semigroups are tight, and tight semigroups are either simple or congruence-free with zero. Although congruence-free semigroups are tight, they are not necessarily bisimple. We construct tight inverse semigroups and tight inverse monoids that are neither bisimple nor congruence-free.

引用

页码：432 / 442

页数：11