On generalized derivations of partially ordered sets - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematics Année : 2019

On generalized derivations of partially ordered sets

Ahmed Y. Abdelwanis
  • Fonction : Auteur correspondant
Abdelkarim Boua
  • Fonction : Auteur

Résumé

Let P be a poset and d be a derivation on P. In this research, the notion of generalized d-derivation on partially ordered sets is presented and studied. Several characterization theorems on generalized d-derivations are introduced. The properties of the fixed points based on the generalized d-derivations are examined. The properties of ideals and operations related with generalized d-derivations are studied.
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hal-03664965 , version 1 (11-05-2022)

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Ahmed Y. Abdelwanis, Abdelkarim Boua. On generalized derivations of partially ordered sets. Communications in Mathematics, 2019, Volume 27 (2019), Issue 1 (1), pp.69 - 78. ⟨10.2478/cm-2019-0006⟩. ⟨hal-03664965⟩
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