Associate inverse subsemigroups of regular semigroups

被引：7

作者：

Billhardt, B. ^{[1
]}

Giraldes, E. ^{[2
]}

Marques-Smith, P. ^{[3
]}

Martins, P. Mendes ^{[3
]}

机构：

[1] Univ Kassel, FB Math 17, D-34127 Kassel, Germany

[2] UTAD, Dept Matemat, P-5000 Vila Real, Portugal

[3] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal

来源：

SEMIGROUP FORUM | 2009年 / 79卷 / 01期

关键词：

Regular semigroup; Associate inverse subsemigroup; Inverse transversal; TRANSVERSALS; SUBGROUPS;

D O I：

10.1007/s00233-009-9150-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each xaS, in relation to the natural partial order a parts per thousand currency sign (S) . We describe the structure of a regular semigroup with an associate inverse subsemigroup, satisfying two natural conditions. As a particular application, we obtain the structure of regular semigroups with an associate subgroup with medial identity element.

引用

页码：101 / 118

页数：18

共 8 条

[1] On associate subgroups of regular semigroups [J].