Almost Cross Varieties of Aperiodic Monoids with Central Idempotents

Authors

Edmond W. H. Lee, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

3-1-2013

Publication Title

Beiträge zur Algebra und Geometrie

Keywords

Monoid, Aperiodic monoid, Central idempotent, Cross varieties, Variety

ISSN

0138-4821

Volume

54

Issue/No.

1

First Page

121

Last Page

129

Abstract

It is known that the class A of aperiodic monoids with central idempotents contains precisely two finitely generated, almost Cross subvarieties. The present article exhibits the first example of a non-finitely generated, almost Cross subvariety of A and verifies that it is in fact unique. Consequently, the class A contains precisely three almost Cross subvarieties.

Comments

English Title: Contributions to Algebra and Geometry

NSUWorks Citation

Lee, Edmond W. H., "Almost Cross Varieties of Aperiodic Monoids with Central Idempotents" (2013). Mathematics Faculty Articles. 9.
https://nsuworks.nova.edu/math_facarticles/9

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013

DOI

10.1007/s13366-012-0094-6