TY  - JOUR
SN  - 1542-3980
A1  -  Tóth Endre
A1  -  Waldhauser Tamás
N2  - 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.
TI  - On Centralizers of Finite Lattices and Semilattices
UR  - http://publicatio.bibl.u-szeged.hu/28141/
EP  - 436
JF  - JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
AV  - restricted
IS  - 4-5
Y1  - 2021///
VL  - 36
SP  - 405
ID  - publicatio28141
ER  -