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