FINITELY GENERATED LIMIT VARIETIES OF APERIODIC MONOIDS WITH CENTRAL IDEMPOTENTS

被引：10

作者：

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

机构：

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 06期

关键词：

Varieties; limit varieties; monoids; aperiodic monoids; central idempotents; finitely based; EQUATIONAL THEORIES; SEMIGROUPS; IDENTITIES; GROUPOIDS; EXAMPLE; BASES;

D O I：

10.1142/S0219498809003631

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A non-finitely based variety of algebras is said to be a limit variety if all its proper sub-varieties are finitely based. Recently, Marcel Jackson published two examples of finitely generated limit varieties of aperiodic monoids with central idempotents and questioned whether or not they are unique. The present article answers this question affirmatively.

引用

页码：779 / 796

页数：18

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