Globals of Idempotent Semigroups

被引：4

作者：

Gan, Aiping ^{[1
,2
]}

Zhao, Xianzhong ^{[1
]}

Shao, Yong ^{[1
]}

机构：

[1] Northwest Univ, Dept Math, Xian 710127, Shaanxi, Peoples R China

[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Idempotent semigroup; Normal band; Power semigroup;

D O I：

10.1080/00927872.2015.1087006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If S is a semigroup, the global (or the power semigroup) of S is the set P(S) of all nonempty subsets of S equipped with a naturally defined multiplication. A class K of semigroups is globally determined if any two semigroups of K with isomorphic globals are themselves isomorphic. We study properties of globals of idempotent semigroups and show, in particular, that the class of normal bands is globally determined.

引用

页码：3743 / 3766

页数：24

共 50 条

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