On f-Derivations in Residuated Lattices

Authors

  • Mbarek Zaoui University of Ibn Tofail National, school of Applied Sciences, Kenitra, Morocco.
  • Driss Gretete University of Ibn Tofail National, school of Applied Sciences, Kenitra, Morocco.
  • Brahim Fahid University of Ibn Tofail Superior, School of Technology, Kenitra, Morocco.

Keywords:

Residuated Lattice, f-derivation, ideal f-derivation, fixed point set

Abstract

In this paper, as a generalization of derivation in a residuated lattice, the notion of f-derivation for a residuated lattice is introduced and some related properties of isotone (resp. contractive) f-derivations and ideal f-derivations are investigated. Also, we define principal f-derivation and their properties. Finally, we define the notion of fixed point. In particular, as an application of ideal f-derivation in Heyting algebras, we obtain that the fixed point set is still a residuated lattice.

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Published

2023-12-31

Issue

Vol. 19 No. 2 (2023): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On f-Derivations in Residuated Lattices. (2023). Journal of Prime Research in Mathematics, 19(2), 17-23. https://jprm.sms.edu.pk/index.php/jprm/article/view/213