The largest higher commutator sequence

Nebojsa Mudrinski
2019 Reports on Mathematical Logic  
A that generates a congruence permutable variety, we look for those sequences of operations on L that have the properties of higher commutator operations of expansions of A. If we introduce the order of such sequences in the natural way the question is whether exists or not the largest one. The answer is positive. We provide a description of the largest element and as a consequence we obtain that the sequences form a complete lattice.
dblp:journals/rml/Mudrinski19 fatcat:hv4agryg5nhw7lykbom44g4tme