Uniqueness of the smallest chameleon in the class of monoids
Year: 2025
Type: article
Abstract: A semigroup is a chameleon if it is the reduct of both a finitely based involution semigroup and a non-finitely based involution semigroup. Recently, a certain monoid K of order six was shown to be a smallest chameleon in the class of monoids. The main objective of the present article is to show that although there exist 2237 monoids of order six up to isomorphism, examples of chameleons different from K do not exist. Consequently, up to isomorphism, K is the unique smallest example of chameleon in the class of monoids.
Source: Examples and Counterexamples
Authors: Nicholas Johnston, Edmond W.H. Lee, Vehbi E. Paksoy
Institution: Nova Southeastern University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $420
OpenAlex ID: W7106834910