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On generalized derivations of partially ordered sets

Ahmed Y. Abdelwanis; Abdelkarim Boua — 2019

Communications in Mathematics

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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