LIMIT VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS

被引：14

作者：

Lee, Edmond W. H. ^{[1
]}

Volkov, Mikhail V. ^{[2
]}

机构：

[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

[2] Ural State Univ, Dept Math & Mech, Ekaterinburg 620083, Russia

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2011年 / 21卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Semigroup; completely 0-simple semigroup; variety; finitely based variety; limit variety; REES-SUSHKEVICH VARIETIES; FINITE BASIS QUESTION; IDENTITIES; BASES; EXAMPLE; CROSS;

D O I：

10.1142/S0218196711006169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A limit variety is a variety that is minimal with respect to being nonfinitely based. This paper presents a new infinite series of limit semigroup varieties, each of which is generated by a finite 0-simple semigroup with Abelian subgroups. These varieties exhaust all limit varieties generated by completely 0-simple semigroups with Abelian subgroups.

引用

页码：257 / 294

页数：38

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