Categorical properties of generalized σ-derivations on modules

A Adrabi, D Bennis, B Fahid - Communications in Algebra, 2023 - Taylor & Francis
Let S be an algebra over a commutative ring R, and let σ be an automorphism on S. In this
paper, we investigate the notion of generalized σ-derivations on modules, which is an …

On Local (like) Derivations on Path Algebras

A Adrabi, D Bennis, B Fahid - Acta Mathematica Vietnamica, 2023 - Springer
In this paper, we investigate local derivations and local generalized derivations on path
algebras associated with finite acyclic quivers. We show that every local derivation on a path …

[PDF][PDF] Jordan (Lie) σ-derivations on path algebras

A Adrabi, D Bennis, B Fahid - Filomat, 2022 - doiserbia.nb.rs
In this paper, we investigate Jordan σ-derivations and Lie σ-derivations on path algebras.
This work is motivated by the one of Benkovic done on triangular algebras and the study of …