  We extend the Kazama-Suzuki construction of models with N=(2,2) world-sheet
supersymmetry to cosets S/K of supergroups. Among the admissible target spaces
that allow for an extension to N=2 superconformal algebras are some simple Lie
supergroups, including PSL(N|N). Our general analysis is illustrated at the
example of the N=1 WZNW model on GL(1|1). After constructing its N=2
superconformal algebra we determine the (anti-)chiral ring of the theory. It
exhibits an interesting interplay between world-sheet and target space
supersymmetry.
