2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149245We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matrix . A nonultralocal quantum algebras on the lattices for these systems are constructed.For some class of such algebras an ultralocalization procedure is proposed.The technique of the modified Bethe-Anzatz for these algebras is developed.This technique is applied to the nonlinear sigma model problem.33 pp. Latex. The file is resubmitted since it was spoiled during transmissionHigh Energy Physics - Theorytext