  We study (anti-) instantons in super Yang-Mills theories defined on a non
anticommutative superspace. The instanton solution that we consider is the same
as in ordinary SU(2) N=1 super Yang-Mills, but the anti-instanton receives
corrections to the U(1) part of the connection which depend quadratically on
fermionic coordinates, and linearly on the deformation parameter C. By
substituting the exact solution into the classical Lagrangian the topological
charge density receives a new contribution which is quadratic in C and quartic
in the fermionic zero-modes. The topological charge turns out to be zero. We
perform an expansion around the exact classical solution in presence of a
fermionic background and calculate the full superdeterminant contributing to
the one-loop partition function. We find that the one-loop partition function
is not modified with respect to the usual N=1 super Yang-Mills.
