MATRIX REPRESENTATION OF RECTANGULAR BANDS OF SEMIGROUPS

被引：1

作者：

Guo, Xiaojiang ^{[1
]}

Shum, K. P. ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330027, Jiangxi, Peoples R China

[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2010年 / 9卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Perfect rectangular band of inverse semigroups; adequate semigroup; Rees matrix theorem; completely simple semigroups; adequate transversals; quasi-ideals; CONNECTED ABUNDANT SEMIGROUPS; ADEQUATE TRANSVERSALS; REGULAR-SEMIGROUPS; INVERSE SEMIGROUPS;

D O I：

10.1142/S0219498810003987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Abundant semigroups expressed as a perfect rectangular band of adequate semigroups will be investigated. A known theorem of Pastijn-Petrich in 1984 on perfect rectangular bands of inverse semigroups will be generalized from the class of regular semigroups to the class of abundant semigroups. A Rees matrix representation of such abundant semigroups will be established and some characterization theorems will be consequently given.

引用

页码：393 / 405

页数：13

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