QUASIVARIETIES OF IDEMPOTENT SEMIGROUPS

Author:

ADAMS M. E.1,DZIOBIAK W.2

Affiliation:

1. Department of Mathematics, State University of New York, New Paltz, NY 12561, USA

2. Department of Mathematics, University of Puerto Rico, Mayagüez, PR 00681-9018, Puerto Rico

Abstract

It is proved that the lattice L(Bd) of quasivarieties contained in the variety Bd of idempotent semigroups contains an isomorphic copy of the ideal lattice of a free lattice on ω free generators. This result shows that a problem of Petrich [19], which calls for a description of L(Bd), is much more complex than originally expected.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 6 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. Introduction;CMS/CAIMS Books in Mathematics;2022

2. The Lattice of Subquasivarieties of a Locally Finite Quasivariety;CMS Books in Mathematics;2018

3. Unary Algebras with 2-Element Range;CMS Books in Mathematics;2018

4. LATTICES OF SUBCLASSES. III;SIB ELECTRON MATH RE;2017

5. Complexity of Quasivariety Lattices;Algebra and Logic;2015-07

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