2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27123We perform a systematic exact algebraic search for integrable spin-S chains which are isotropic in spin space, i.e. are su(2)-invariant. The families of spin chains found for S < 14 support recent arguments in favour of the complete classification of all such integrable chains. The integrable families of spin chains are discussed in the light of the conjectured spin-dependent properties of the Heisenberg chain.8 pages, LaTeX, MRR-032-94Condensed Mattertext