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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 icon orcid.org/0000-0002-1662-3734 ; Department of Mathematics, Nova Southeastern University, Fort Lauderdale, Florida 33314, USA

Fulltext: croatian, pdf (214 KB) pages 373-396 downloads: 299* cite
APA 6th Edition
Lee, E.W.H. (2015). THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED. Glasnik matematički, 50 (2), 373-396. https://doi.org/10.3336/gm.50.2.08
MLA 8th Edition
Lee, Edmond W. H.. "THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED." Glasnik matematički, vol. 50, no. 2, 2015, pp. 373-396. https://doi.org/10.3336/gm.50.2.08. Accessed 5 Dec. 2021.
Chicago 17th Edition
Lee, Edmond W. H.. "THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED." Glasnik matematički 50, no. 2 (2015): 373-396. https://doi.org/10.3336/gm.50.2.08
Harvard
Lee, E.W.H. (2015). 'THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED', Glasnik matematički, 50(2), pp. 373-396. https://doi.org/10.3336/gm.50.2.08
Vancouver
Lee EWH. THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED. Glasnik matematički [Internet]. 2015 [cited 2021 December 05];50(2):373-396. https://doi.org/10.3336/gm.50.2.08
IEEE
E.W.H. Lee, "THE VARIETY GENERATED BY ALL MONOIDS OF ORDER FOUR IS FINITELY BASED", Glasnik matematički, vol.50, no. 2, pp. 373-396, 2015. [Online]. https://doi.org/10.3336/gm.50.2.08

Abstracts
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
https://hrcak.srce.hr/150146

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