Permuting Tri-Derivations on Posets
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Authors: A. Y. ABDELWANIS AND A. R. KHAN
DOI: 10.46793/KgJMat2503.353A
Abstract:
Let P be a partially ordered set (poset). The main objective of the present paper is to introduce and study the idea of permuting tri-derivations of posets. Several characterization theorems involving permuting tri-derivations are given. In particular, we prove that if d1 and d2 are two permuting tri-derivations of P with traces ϕ1 and ϕ2, then ϕ1 ≤ ϕ2 if and only if ϕ2(ϕ1(x)) = ϕ1(x) for all x ∈ P.
Keywords:
Derivation, fixed points, partially ordered set (poset), permuting tri-derivation.
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