Centralizing Monoids on a Three-Element Set
Hajime Machida, Ivo G. Rosenberg · 2012
Let A be a finite set with |A|>; 1. A centralizing monoid on A is a set of unary functions defined on A which commute with some set of (multi-variable) functions on A. In this paper we consider the case where A is a three-element set. Using the concept of a witness and Kuznetsov criterion, we determine all centralizing monoids on a three-element set. There are 192 centralizing monoids, which are divided into 48 conjugate classes.