  We study noncommutative generalizations of such notions of the classical
symplectic geometry as degenerate Poisson structure, Poisson submanifold and
quotient manifold, symplectic foliation and symplectic leaf for associative
Poisson algebras. We consider these structures for the case of the endomorphism
algebra of a vector bundle, and give the full description of the family of
Poisson structures for this algebra.
