Year: 2024
Type: article
Abstract: The main objective of the present work, as a generalization of derivation, is to give the concept of permuting n-derivations on partially ordered sets (posets). Several associated theorems and fondamental properties involving permuting n-derivations are presented. Moreover, we demonstrate that if D is a permuting n-derivation on poset G with the greatest element 1 and the trace δ, then δ(1) = 1 if and only if δ is an identity on G. Furthermore, we discuss the relations among derivations, ideals and fixed sets in posets.
Authors: Latifa Bedda, Abdelkarim Boua
Institution: Sidi Mohamed Ben Abdellah University
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402689222