Open AccessSome properties of isotone and joinitive multiderivations on lattices
Author(s) -
Shahram Rezapour,
Samaneh Sami
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1610743r
Subject(s) - mathematics , ideal (ethics) , set (abstract data type) , pure mathematics , discrete mathematics , epistemology , computer science , philosophy , programming language
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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