Article
The Variety Generated by All Monoids of Order Four Is Finitely Based
Glasnik Matematički
Document Type
Article
Publication Date
12-1-2015
Keywords
- Monoid,
- Semigroup,
- Variety,
- Finitely based
Disciplines
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.
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.3336/gm.50.2.08
Citation Information
Edmond W. H. Lee and Jian Rong Li. "The Variety Generated by All Monoids of Order Four Is Finitely Based" Glasnik Matematički Vol. 50 Iss. 2 (2015) p. 373 - 396 ISSN: 0017-095X Available at: http://works.bepress.com/edmond-lee/4/
2010 Mathematics Subject Classification. 20M07.