Jordan (Lie) σ-derivations on path algebras
Filomat, Tome 36 (2022) no. 18, p. 6231
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In this paper, we investigate Jordan σ-derivations and Lie σ-derivations on path algebras. This work is motivated by the one of Benkovič done on triangular algebras and the study of Jordan derivations and Lie derivations on path algebras done by Li and Wei. Namely, main results state that every Jordan σ-derivation is a σ-derivation and every Lie σ-derivation is of a standard form on a path algebra when the associated quiver is acyclic and finite.
Classification :
16W25, 16W20, 15A78
Keywords: Jordan σ-derivarions, Lie σ-derivations, path algebras, quivers
Keywords: Jordan σ-derivarions, Lie σ-derivations, path algebras, quivers
Abderrahim Adrabi; Driss Bennis; Brahim Fahid. Jordan (Lie) σ-derivations on path algebras. Filomat, Tome 36 (2022) no. 18, p. 6231 . doi: 10.2298/FIL2218231A
@article{10_2298_FIL2218231A,
author = {Abderrahim Adrabi and Driss Bennis and Brahim Fahid},
title = {Jordan {(Lie)} \ensuremath{\sigma}-derivations on path algebras},
journal = {Filomat},
pages = {6231 },
year = {2022},
volume = {36},
number = {18},
doi = {10.2298/FIL2218231A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218231A/}
}
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