Glasnik matematički, Vol. 50 No. 2, 2015.
Original scientific paper
https://doi.org/10.3336/gm.50.2.08
THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED
Edmond W. H. Lee
orcid.org/0000-0002-1662-3734
; Department of Mathematics, Nova Southeastern University, Fort Lauderdale, Florida 33314, USA
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.
Keywords
Monoid; semigroup; variety; finitely based
Hrčak ID:
150146
URI
Publication date:
29.12.2015.
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