Supersymmetric formulations of spin-$\sfrac{1}{2}$ quantum chains, associated with integrable models, are considered. One class of super-extensions, based on low-dimensional classical and exceptional superalgebras containing $sl(2)$, is illustrated with the case of $osp(1/2)$. A more radical generalization, in which the algebra of Pauli matrices is identified with the algebra of supersymmetric quantum mechanics, is also presented, and some of its algebraic properties discussed.