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On Local (like) Derivations on Path Algebras
Abderrahim Adrabi
,
Driss Bennis
,
Brahim Fahid
Abstract
In this paper, we investigate local derivations and local generalized derivations on path algebras associated with finite acyclic quivers. We show that every local derivation on a path algebra is a derivation, and every local generalized derivation on a path algebra is a generalized derivation. Also, we apply main results on several related maps to local derivations. The established results generalize several ones on some known algebras such as incidence algebras.