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.
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页码：257 / 294
页数：38
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