relation: http://publicatio.bibl.u-szeged.hu/28141/ title: On Centralizers of Finite Lattices and Semilattices creator: Tóth Endre creator: Waldhauser Tamás subject: 01.01. Matematika description: 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. date: 2021 type: Folyóiratcikk type: PeerReviewed format: text identifier: http://publicatio.bibl.u-szeged.hu/28141/1/2021_1.pdf identifier: Tóth Endre; Waldhauser Tamás: On Centralizers of Finite Lattices and Semilattices. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 36 (4-5). pp. 405-436. ISSN 1542-3980 (2021) relation: 32109644 language: eng relation: info:eu-repo/semantics/altIdentifier/doi/ rights: info:eu-repo/semantics/restrictedAccess