Mathematics Faculty Articles

Title

On the Variety Generated by Some Monoid of Order Five

Document Type

Article

Publication Date

12-2008

Publication Title

Acta Scientiarum Mathematicarum

ISSN

0001-6969

Volume

74

Issue/No.

3-4

First Page

509

Last Page

537

Abstract

It is shown that the semigroup variety generated by the monoid A10=a, b : a2 = a, b2 = b, ba = 01

of order five is hereditarily finitely based and contains countably infinitely many subvarieties. In contrast, the monoid variety generated by A10 is shown to contain only eight subvarieties.

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013