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Jordan Derivations and Lie derivations on Path Algebras

Published 22 Mar 2012 in math.RA and math.OA | (1203.4925v1)

Abstract: Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.

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