| Authors | Amir Hossein Mokhtari,D. Bennis,H. R. Ebrahimi Vishki,B. Fahid,A. Khadem-Maboudi |
|---|---|
| Journal | Bolletino dell Unione Matematica Italiana |
| Page number | 441-452 |
| Serial number | 12 |
| Volume number | 3 |
| Paper Type | Full Paper |
| Published At | 2019 |
| Journal Grade | ISI |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | Scopus |
Abstract
In this paper, we investigate the problem of describing the form of Lie generalized derivations on trivial extension algebras. We show, under some conditions, that every Lie generalized derivation on a trivial extension algebra is an sum of a generalized derivation and a center valued map which vanishes on all commutators. As an application we characterize Lie generalized derivation on a triangular algebra.
tags: Lie generalized derivation · Trivial extension algebra · Triangular algebra