  It has long been appreciated that superalgebras with bosonic and fermionic
generators additional to those in the super-Poincare algebra underlie p-brane
and D-brane actions in superstring theory. These algebras have been revealed
via "bottom up" approaches, involving consideration of Noether charges, and by
"top down" approaches, involving the construction of manifestly supersymmetry
invariant Wess-Zumino actions. In this paper, we give an alternative derivation
of these algebras based on integrability of supersymmetry transformations
assigned to fields in order to solve a cohomology problem related to the
construction of Wess-Zumino terms for p-brane and D-brane actions.
