Algebraic derivations on a lattice (Dérivations algébriques dans un treillis)
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Date
2022-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITY of M'SILA
Abstract
In the memory, we first have recalled the necessary basic concepts and properties of binary
relations on a set and partially ordered sets. Then, we have given general information on
lattices and algebraic properties of some lattice classes. Also, we have provided the notion of
an algebraic derivation on a lattice and we have discussed some related properties. Further,
we have analyzed some classes of derivations on a lattice like principal and isotone
derivations. Moreover, we have recalled the notion of a fixed point of a derivation on a lattice
and we have presented the algebraic structure of the set of these fixed points.
Description
Keywords
Order, ordered set, lattice, algebraic derivation, fixed point.