Jordan Derivations and Lie Derivations on Path Algebras

Y. Li*, F. Wei

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)79-92
Number of pages14
JournalBulletin of the Iranian Mathematical Society
Volume44
Issue number1
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

  • Jordan derivation
  • Lie derivation
  • Path algebra

Cite this

Li, Y., & Wei, F. (2018). Jordan Derivations and Lie Derivations on Path Algebras. Bulletin of the Iranian Mathematical Society, 44(1), 79-92. https://doi.org/10.1007/s41980-018-0006-0