On generalized Lie derivations.

Autor: Bennis, Driss, Vishki, Hamid Reza Ebrahimi, Fahid, Brahim, Bahmani, Mohammad Ali
Zdroj: Afrika Matematica; Jun2020, Vol. 31 Issue 3/4, p423-435, 13p
Abstrakt: In this paper, we investigate generalized Lie derivations. We give a complete characterization of when each generalized Lie derivation is a sum of a generalized inner derivation and a Lie derivation. This generalizes a result given by Benkovič. We also investigate when every generalized Lie derivation on some particular kind of unital algebras is a sum of a generalized derivation and a central map which vanishes on all commutators. Precisely, we consider both the unital algebras with nontrivial idempotents and the trivial extension algebras. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index