  Starting from the complete integrable lattice super-KdV equation, two
super-mappings are obtained by performing a travelling-wave reduction. The
first one is linear and the second is a four dimensional super-QRT mapping
containing both Grassmann commuting and anti-commuting dependent variables.
Adapting the classical "staircase" method to the Lax super-matrices of the
lattice super-KdV equation, we compute the Lax super-matrices of the mapping
and the two invariants; the first one is a pure nilpotent commuting quantity
and the second one is given by an elliptic curve containing nilpotent commuting
Grassmann coefficients as well. In the case of finitely generated Grassmann
algebra with two generators, the super-QRT mapping becomes a four-dimensional
ordinary discrete dynamical system that has two invariants but does not satisfy
singularity confinement criterion. It is also observed that the dynamical
degree of this system grows quadratically.
