Left Orders in Special Completely 0-Simple Semigroups

被引：0

作者：

Petrich, Mario

机构：

[1] not available, 21420 Bol, Brač

来源：

RESULTS IN MATHEMATICS | 2013年 / 63卷 / 3-4期

关键词：

Semigroup of left quotients; left order; Green's relations; Completely 0-simple semigroup; S-homomorphism; semigroup without contractions; R-unipotent; Brandt semigroup; REGULAR H-SEMIGROUPS; O-SIMPLE SEMIGROUPS; LEFT QUOTIENTS;

D O I：

10.1007/s00025-012-0251-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subsemigroup S of a semigroup Q is a left order in Q, and Q is a semigroup of left quotients of S, if every element of Q can be written as a (-1) b for some with a belonging to a group -class of Q. Characterizations are provided for semigroups which are left orders in completely 0-simple semigroups in the following classes: without similar -classes, without contractions, -unipotent, Brandt semigroups and their generalization. Complete discussion of two examples and an idea for a new concept conclude the paper.

引用

页码：1033 / 1056

页数：24

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