Abstract

Let S be a unital ring in which 2 is invertible, and let be the quaternion ring over S. In this paper, we describe the Lie derivations and generalized Lie derivations of R, we show that if S is commutative or semiprime, then every Lie derivation (resp. generalized Lie derivation) of R decomposes into the sum of a derivation (resp. generalized derivation) and an additive central map that vanishes on all commutators of R.

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