DefinePK

DefinePK hosts the largest index of Pakistani journals, research articles, news headlines, and videos. It also offers chapter-level book search.

Select Collection

On <i>f</i>-Derivations in Residuated Lattices

Article Information

Get PDF View Article
Login to Add in Library

Title: On f-Derivations in Residuated Lattices

Authors: Mbarek Zaoui, Driss Gretete, Brahim Fahid

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2023

Volume: 19

Issue: 2

Language: English

Keywords: f-derivationresiduated lattices

Categories
Lattice Theory (5) Derivations (3) Residuated Lattices (4) Abstract Algebra (137) Algebraic Structures (6)

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.

Paper summary is not available for this article yet.

Loading PDF...

Loading Statistics...