GENERALIZED LIE DERIVATIONS IN PRIME RINGS

Bojan Hvala

doi:10.11650/twjm/1500404875

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Home > Journals > Taiwanese J. Math. > Volume 11 > Issue 5 > Article

2007 GENERALIZED LIE DERIVATIONS IN PRIME RINGS

Bojan Hvala

Taiwanese J. Math. 11(5): 1425-1430 (2007). DOI: 10.11650/twjm/1500404875

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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.