2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57016We investigate the geometric, algebraic and homologic structures related with Poisson structure on a smooth manifold. Introduce a noncommutative foundations of these structures for a Poisson algebra. Introduce and investigate noncommutative Bott connection on a foliated manifold using the algebraic definition of submanifold and quotient manifold. Develop an algebraic construction for the reduction of a degenerated Poisson algebra.57 pagesMathematical PhysicsDynamical SystemsSymplectic Geometry81T75; 53D17text