DUALISABILITY OF FINITE SEMIGROUPS

Author:

JACKSON MARCEL1

Affiliation:

1. Department of Mathematics, La Trobe University 3086, Australia

Abstract

We describe the inherently non-dualisable finite algebras from some semigroup related classes. The classes for which this problem is solved include the variety of bands, the pseudovariety of aperiodic monoids, commutative monoids, and (assuming a reasonable conjecture in the literature) the varieties of all finite monoids and finite inverse semigroups. The first example of an inherently non-dualisable entropic algebra is also presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 7 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

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4. Dualities for quasi-varieties of bands;Semigroup Forum;2013-12-05

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