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arxiv: 1203.4925 · v1 · pith:UILIGLSUnew · submitted 2012-03-22 · 🧮 math.RA · math.OA

Jordan Derivations and Lie derivations on Path Algebras

classification 🧮 math.RA math.OA
keywords algebrasderivationderivationseveryjordanpathwithoutassumption
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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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