  The paper is devoted to noncommutative projective schemes within Kapranov's
framework of noncommutative algebraic geometry. We classify all noncommutative
projective schemes obtained from the differential chains in the universal
enveloping algebra of the free nilpotent Lie algebra of index q generated by
x_{0},...,x_{n}. The construction proposed allows us to provide a new method of
deformation quantization of the commutative projective schemes within the
considered framework.
