%L publicatio28141
%X We study centralizer clones of finite lattices and semilattices. For semilattices, we give two characterizations of the centralizer and also derive formulas for the number of operations of a given essential arity in the centralizer. We also characterize operations in the centralizer clone of a distributive lattice, and we prove that the essential arity of operations in the centralizer is bounded for every finite (possibly nondistributive) lattice. Using these results, we present a simple derivation for the centralizers of clones of Boolean functions.
%V 36
%D 2021
%I szte
%J JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
%P 405-436
%R MTMT:32109644
%T On Centralizers of Finite Lattices and Semilattices
%N 4-5
%A  TĂłth Endre
%A  Waldhauser TamĂĄs