  In this paper, we investigate related properties of some particular
derivations and give some characterizations of additive derivations in
MV-algebras. Then, we obtain that the fixed point set of additive derivations
is still an MV-algebra. Also, we study boolean additive derivations and their
adjoint derivations. In particular, we get that the fixed point set of boolean
addition derivations and that of their adjoint derivations are isomorphism.
Moreover, we prove that every MV-algebras are isomorphic to the direct product
of the fixed point set of boolean additive derivations and that of their
adjoint derivations. Finally, Finally, we show that the structure of a Boolean
algebra is completely determined by its set of all boolean additive
(implicative) derivations.
