Completely regular semigroups with generalized strong semilattice decompositions

被引：7

作者：

Kong, XZ ^{[1
]}

Shum, KP

机构：

[1] Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China

[2] Chinese Univ Hong Kong, Fac Sci, Shatin, Hong Kong, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 02期

关键词：

completely regular semigroups; pG-strong semilattices; regular cryptogroups; right quasi-normal cryptogroups; natural partial order;

D O I：

10.1142/S100538670500026X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of rho G-strong semilattice of semigroups is introduced. By using this concept, we study Green's relation H on a completely regular semigroup S. Necessary and sufficient conditions for S/H to be a regular band or a right quasi-normal band are obtained. Important results of Petrich and Reilly on regular cryptic semigroups are generalized and enriched. In particular, characterization theorems of regular cryptogroups and normal cryptogroups are obtained.

引用

页码：269 / 280

页数：12

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