In this paper we define Akivis superalgebra and study enveloping
superalgebras for this class of algebras, proving an analogous of the PBW
Theorem. Lie and Malcev superalgebras are examples of Akivis superalgebras. For
these particular superalgebras, we describe the connection between the
classical enveloping superalgebras and the corresponding generalized concept
defined in this work
