Geodesic
f-Fixed Points of Isotone f-Derivations on a Lattice
Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 69-89

Voir la notice de l'article provenant de la source Library of Science

In a recent paper, Çeven and Öztürk have generalized the notion of derivation on a lattice to f-derivation, where f is a given function of that lattice into itself. Under some conditions, they have characterized the distributive and modular lattices in terms of their isotone f-derivations. In this paper, we investigate the most important properties of isotone f-derivations on a lattice, paying particular attention to the lattice (resp. ideal) structures of isotone f-derivations and the sets of their f-fixed points. As applications, we provide characterizations of distributive lattices and principal ideals of a lattice in terms of principal f-derivations.
Keywords: lattice, isotone f-derivation, principal f-derivation, f-fixed points set 
@article{DMGAA_2019_39_1_a5,
     author = {Zedam, Lemnaouar and Yettou, Mourad and Amroune, Abdelaziz},
     title = {f-Fixed {Points} of {Isotone} {f-Derivations} on a {Lattice}},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {69--89},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a5/}
}
TY  - JOUR
AU  - Zedam, Lemnaouar
AU  - Yettou, Mourad
AU  - Amroune, Abdelaziz
TI  - f-Fixed Points of Isotone f-Derivations on a Lattice
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2019
SP  - 69
EP  - 89
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a5/
LA  - en
ID  - DMGAA_2019_39_1_a5
ER  - 
%0 Journal Article
%A Zedam, Lemnaouar
%A Yettou, Mourad
%A Amroune, Abdelaziz
%T f-Fixed Points of Isotone f-Derivations on a Lattice
%J Discussiones Mathematicae. General Algebra and Applications
%D 2019
%P 69-89
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a5/
%G en
%F DMGAA_2019_39_1_a5
Zedam, Lemnaouar; Yettou, Mourad; Amroune, Abdelaziz. f-Fixed Points of Isotone f-Derivations on a Lattice. Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 69-89. http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a5/