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Jordan Derivations and Lie Derivations on Path Algebras

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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.

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Notes

  1. See [11, Theorem 2.5] for details.

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Acknowledgements

The work of the first author is supported by the National Natural Science Foundation of China (Grant no. 11301195).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, People’s Republic of China

    Y. Li

  2. School of Mathematics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    F. Wei

Authors
  1. Y. Li
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  2. F. Wei
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Correspondence to Y. Li.

Additional information

Communicated by Saeid Azam.

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Li, Y., Wei, F. Jordan Derivations and Lie Derivations on Path Algebras. Bull. Iran. Math. Soc. 44, 79–92 (2018). https://doi.org/10.1007/s41980-018-0006-0

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  • DOI: https://doi.org/10.1007/s41980-018-0006-0

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