Jordan Derivations and Lie Derivations on Path Algebras

Y. Li; F. Wei

doi:10.1007/s41980-018-0006-0

Jordan Derivations and Lie Derivations on Path Algebras

Y. Li^*
, F. Wei

^*Corresponding author for this work

School of Mathematics and Statistics

Northeastern University China

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 language	English
Pages (from-to)	79-92
Number of pages	14
Journal	Bulletin of the Iranian Mathematical Society
Volume	44
Issue number	1
DOIs	https://doi.org/10.1007/s41980-018-0006-0
Publication status	Published - 1 Feb 2018

Keywords

Jordan derivation
Lie derivation
Path algebra

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10.1007/s41980-018-0006-0

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AB - 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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KW - Path algebra

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Jordan Derivations and Lie Derivations on Path Algebras

Abstract

Keywords

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