What question did this study set out to answer?

The paper aims to explore n-derivations on posets and establish characterization theorems related to them.

February 2, 2026

On n -Derivations Of Posets

AAAhmed Y. AbdelwanisCairo University ABAbdelkarim BouaSidi Mohamed Ben Abdellah University SAShakir AliAligarh Muslim University

Key Points

The paper aims to explore n-derivations on posets and establish characterization theorems related to them.
Introduced the concept of n-derivations on posets.
Developed several characterization theorems for n-derivations.
Examined the properties of fixed points associated with n-derivations.
Studied ideals and operations relevant to n-derivations.
Presented various characterization theorems for n-derivations.
Identified properties of fixed points based on n-derivations.
Discussed relationships between ideals and operations derived from n-derivations.

Abstract

Let n ≥ 2 be a fixed integer. The aim of this paper is to initiate the study of n-derivations on posets. Additionally, several characterization theorems on n-derivations are given. Moreover, the properties of the fixed points based on the n-derivations are examined. Finally, the properties of ideals and operations related to n-derivations are studied.

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