ON REES MATRIX REPRESENTATIONS OF ABUNDANT SEMIGROUPS WITH ADEQUATE TRANSVERSALS

被引：0

作者：

Gao, Zhen Lin ^{[1
]}

Liu, Xian Ge ^{[1
]}

Xiang, Yan Jun ^{[1
]}

Zuo, He Li ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Sci Coll, Shanghai 200093, Peoples R China

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 24卷 / 04期

关键词：

abundant semigroup; adequate semigroup; adequate transversal; Gamma-adequate transversal;

D O I：

10.4134/CKMS.2009.24.4.481

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concepts of *-relation of a (Gamma-)semigroup and Gamma-adequate transversal of a (Gamma-)abundant semigroup are defined in this note. Then we develop a matrix type theory for abundant semigroups. We give some equivalent conditions of a Rees matrix semigroup being abundant and some equivalent conditions of an abundant Rees matrix semigroup having an adequate transversal. Then we obtain some Rees matrix representations for abundant semigroups with adequate transversals by the above theories.

引用

页码：481 / 500

页数：20

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