Mathematics Faculty Articles
Cross Varieties of Aperiodic Monoids with Central Idempotents
Document Type
Article
Publication Date
11-2011
Publication Title
Portugaliae Mathematica
Keywords
Monoid, Aperiodic monoid, Central idempotent, Variety, Cross variety
ISSN
0032-5155
Volume
68
Issue/No.
4
First Page
425
Last Page
429
Abstract
Let A denote the class of all aperiodic monoids with central idempotents. A description of all Cross subvarieties of A, based on identities that they satisfy and monoids that they cannot contain, is given. The two limit subvarieties of A, published by Marcel Jackson in 2005, turn out to be the only finitely generated, almost Cross subvarieties of A. It follows that it is decidable in quartic time if a finite monoid in A generates a Cross variety.
NSUWorks Citation
Lee, Edmond W. H., "Cross Varieties of Aperiodic Monoids with Central Idempotents" (2011). Mathematics Faculty Articles. 1.
https://nsuworks.nova.edu/math_facarticles/1
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.4171/PM/1900
