Minimal Semigroups Generating Varieties with Complex Subvariety Lattices

Authors

Edmond W. H. Lee, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

12-2007

Publication Title

International Journal of Algebra and Computation

Keywords

Semigroups, Varieties, Subvariety lattices, Complex varieties, Complex lattices

ISSN

0218-1967

Volume

17

Issue/No.

8

First Page

1553

Last Page

1572

Abstract

A semigroup is complex if it generates a variety with the property that every finite lattice is embeddable in its subvariety lattice. In this paper, subvariety lattices of varieties generated by small semigroups will be investigated. Specifically, all complex semigroups of minimal order will be identified.

Comments

AMSC: 20M07, 08B15

NSUWorks Citation

Lee, Edmond W. H., "Minimal Semigroups Generating Varieties with Complex Subvariety Lattices" (2007). Mathematics Faculty Articles. 142.
https://nsuworks.nova.edu/math_facarticles/142

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013

DOI

10.1142/S0218196707004189