REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS

被引：0

作者：

Ni, Xiangfei ^{[1
]}

Chao, Haizhou ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Shanghai Univ Finance & Econ, Zhejiang Coll, Dept Math, Jinhua 321004, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 103卷 / 01期

基金：

中国国家自然科学基金;

关键词：

regular semigroup; normal idempotent; orthodox semigroup;

D O I：

10.1017/S1446788717000088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate regular semigroups that possess a normal idempotent. First, we construct a nonorthodox nonidempotent-generated regular semigroup which has a normal idempotent. Furthermore, normal idempotents are described in several different ways and their properties are discussed. These results enable us to provide conditions under which a regular semigroup having a normal idempotent must be orthodox. Finally, we obtain a simple method for constructing all regular semigroups that contain a normal idempotent.

引用

页码：116 / 125

页数：10

共 4 条

[1] REGULAR-SEMIGROUPS WITH A MULTIPLICATIVE INVERSE TRANSVERSAL [J].

BLYTH, TS ;

MCFADDEN, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1982, 92 :253-270

[2] A classification of inverse transversals [J].

Blyth, TS ;

Santos, MHA .

COMMUNICATIONS IN ALGEBRA, 2001, 29 (02) :611-624

[3] ON THE CONSTRUCTION OF A CLASS OF REGULAR-SEMIGROUPS [J].

BLYTH, TS ;

MCFADDEN, R .

JOURNAL OF ALGEBRA, 1983, 81 (01) :1-22

[4]

Howie J.M., 1995, Fundamentals of Semigroup Theory

← 1 →