FINITELY GENERATED LIMIT VARIETIES OF APERIODIC MONOIDS WITH CENTRAL IDEMPOTENTS

Author:

LEE EDMOND W. H.1

Affiliation:

1. Department of Mathematics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada

Abstract

A non-finitely based variety of algebras is said to be a limit variety if all its proper subvarieties 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Limit varieties generated by finite non-J-trivial aperiodic monoids;Semigroup Forum;2023-12

2. Varieties of Aperiodic Monoids with Central Idempotents;Advances in the Theory of Varieties of Semigroups;2022-08-27

3. Classification of limit varieties of -trivial monoids;Communications in Algebra;2022-01-18

4. Limit varieties of aperiodic monoids with commuting idempotents;Journal of Algebra and Its Applications;2020-06-19

5. A new example of a limit variety of monoids;Semigroup Forum;2019-12-16

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