Some Properties of Isotone and Joinitive Multiderivations on Lattices

Abstract

In this paper, we introduce the notion of multiderivations on lattices and their fixed sets. By using the superjoinitivity and supermeetability properties of the multifunctions, we give some new results on properties of isotone and joinitive multiderivations on lattices. In this way, we show that under some conditions the fixed set of a multiderivation is an ideal.