2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58372The $2n$ dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multidimensional integrable systems connected with arbitrary graded (semisimple) algebras are constructed. The general solution of them is presented in explicit form.LaTeX, 9 pagesMathematical PhysicsExactly Solvable and Integrable SystemsIntegrable systems in spaces of arbitrary dimensiontext