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Keywords
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Fixed set, Ideal, Isotone multiderivation, Joinitive multiderivation, Lattice
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Abstract
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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.
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