## Taiwanese Journal of Mathematics

### GENERALIZED LIE DERIVATIONS IN PRIME RINGS

Bojan Hvala

#### Abstract

We define generalized Lie derivations on rings and prove that every generalized Lie derivation on a prime ring $R$ is a sum of a generalized derivation from $R$ into its central closure $R_C$ and an additive map from $R$ into the extended centroid $C$ sending commutators to zero.

#### Article information

Source
Taiwanese J. Math., Volume 11, Number 5 (2007), 1425-1430.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500404875

Digital Object Identifier
doi:10.11650/twjm/1500404875

Mathematical Reviews number (MathSciNet)
MR2368660

Zentralblatt MATH identifier
1143.16035

#### Citation

Hvala, Bojan. GENERALIZED LIE DERIVATIONS IN PRIME RINGS. Taiwanese J. Math. 11 (2007), no. 5, 1425--1430. doi:10.11650/twjm/1500404875. https://projecteuclid.org/euclid.twjm/1500404875