We study two supersymmetric toy models of a k-form superfield, k=2,1
separately. By ``solving'' Jacobi identities, we show that each model is
completely solvable at off-shell level, possesses a severely constrained
kinematics, and gives a rigid representation of the supersymmetry algebra. This
study of the toy models is motivated by our reanalysis on supersymmetry
algebras in gauge theories where we discuss internal symmetry generators
carrying spacetime/spinor indices.Comment: 1+35 pages, No figur