Geodesic
Permuting Tri-Derivations on Posets
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 353

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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 $d_1$ and $d_2$ are two permuting tri-derivations of $P$ with traces $\phi_1$ and $\phi_2,$ then $\phi_1 \leq \phi_2 $ if and only if $\phi_{2}(\phi_{1}(x)) =\phi_1(x)$ for all $x\in P$.
Classification : 06A05, 06A07, 06A11
Keywords: Derivation, fixed points, partially ordered set (poset), permuting tri-derivation. 
Ahmed Y. Abdelwanis; Abdul Rauf Khan. Permuting Tri-Derivations on Posets. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 353 . http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a1/
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     author = {Ahmed Y. Abdelwanis and Abdul Rauf Khan},
     title = {Permuting {Tri-Derivations} on {Posets}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {353 },
     year = {2025},
     volume = {49},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a1/}
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