Jordan (Lie) σ-derivations on path algebras-Reference-Cited by-同舟云学术

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Jordan (Lie) σ-derivations on path algebras

Published:2022 Issue:18 Volume:36 Page:6231-6243
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Adrabi Abderrahim¹,Bennis Driss¹,Fahid Brahim²

Affiliation:

1. Faculty of Sciences, Mohammed V University in Rabat, Morocco

2. Superior School of Technology, Ibn Tofail University, Kenitra, Morocco

Abstract

In this paper, we investigate Jordan ?-derivations and Lie ?-derivations on path algebras. This work is motivated by the one of Benkovic 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 ?-derivation is a ?-derivation and every Lie ?-derivation is of a standard form on a path algebra when the associated quiver is acyclic and finite.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference8 articles.

1. Adrabi, A., Bennis, D. and Fahid, B.: Lie generalized derivations on bound quiver algebras. Communications in Algebra 49 (2021), 1950-1965.

2. Benkovič, D.: Jordan σ-derivations of triangular algebras. Linear and Multilinear Algebra 64 (2015), 143-155.

3. Benković, D.: Lie σ-derivations of triangular algebras. Linear and Multilinear Algebra 70 (2020), 2966-2983.

4. Gaddis, J.: Isomorphisms of graded path algebras. Proceedings of the American Mathematical Society 149 (2021), 1395-1403.

5. Goodearl, K. R.: Leavitt Path Algebras and Direct Limits. Contemporary Mathematics 480 (2009), 165-187.

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