Mathematics Faculty Articles
The Variety Generated by All Monoids of Order Four Is Finitely Based
Document Type
Article
Publication Date
12-2015
Publication Title
Glasnik Matematički
Keywords
Monoid, Semigroup, Variety, Finitely based
ISSN
0017-095X
Volume
50
Issue/No.
2
First Page
373
Last Page
396
Abstract
It is known that the variety Mn generated by all monoids of order n is finitely based if n ≤ 3 and non-finitely based if n ≥ 6. The present article establishes the finite basis property of the variety M4. This leaves M5 as the last open case in the finite basis problem for the varieties Mn.
NSUWorks Citation
Lee, Edmond W. H. and Li, Jian Rong, "The Variety Generated by All Monoids of Order Four Is Finitely Based" (2015). Mathematics Faculty Articles. 17.
https://nsuworks.nova.edu/math_facarticles/17
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.3336/gm.50.2.08
COinS
Comments
2010 Mathematics Subject Classification. 20M07.