Normally ordered inverse semigroups

被引：13

作者：

Fernandes, VH ^{[1
]}

机构：

[1] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-2825 Monte De Caparica, Portugal

来源：

SEMIGROUP FORUM | 1998年 / 56卷 / 03期

关键词：

Finite Group; Inverse Semigroup; Partial Transformation; Finite Chain; Aperiodic Element;

D O I：

10.1007/PL00005955

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the pseudovariety of inverse semigroups NO of all normally ordered inverse semigroups. We show that the pseudovariety of inverse semigroups PCS generated by all semigroups of injective and order partial transformations on a finite chain consists of all aperiodic elements of NO. Also, we prove that NO is the join pseudovariety of inverse semigroups PCS boolean OR G, where G is the pseudovariety of all finite groups.

引用

页码：418 / 433

页数：16

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