Centralizing Monoids on a Three-Element Set

H. Machida, I. G. Rosenberg
2012 2012 IEEE 42nd International Symposium on Multiple-Valued Logic  
For a set $A$ with $|A|>1$ , a centralizing monoid on $A$ is a set of unary functions defined on $A$ which commute with all members of some set of multi-variable functions on $A$ . In this paper we restrict ourselves to the case where $A$ is a three-element set and present the list of all centralizing monoids on $A$ . There are 192 centralizing monoids on a three-element set, which are divided into 48 conjugate classes.
doi:10.1109/ismvl.2012.50 dblp:conf/ismvl/MachidaR12 fatcat:xh275wxvwjghhf3um4k4b46rpe