Mike Behrisch – All centralising monoids given by conservative majority operations on $\{0,1,2,3\}$

Technische Universit├Ąt Wien
Investigating the commutation condition between conservative majority operations and unary operations on finite sets, we determine all centralising monoids on a four-element carrier set that can be witnessed by conservative majority operations. Moreover, we count these monoids and we identify those proper submonoids among them that are maximal under set inclusion (within the discussed class of centralising monoids).