A SUFFICIENT CONDITION UNDER WHICH A SEMIGROUP IS NONFINITELY BASED

Author:

ZHANG WEN TING,LUO YAN FENG

Abstract

We give a sufficient condition under which a semigroup is nonfinitely based. As an application, we show that a certain variety is nonfinitely based, and we indicate the additional analysis (to be presented in a forthcoming paper), which shows that this example is a new limit variety of aperiodic monoids.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

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1. Flat extensions of groups and limit varieties of additively idempotent semirings;Journal of Algebra;2023-06

2. Historical Overview and Main Results;Advances in the Theory of Varieties of Semigroups;2022-08-27

3. Limit varieties of J-trivial monoids;Semigroup Forum;2021-05-11

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