This work focuses on the association of methods from topology,
category and sheaf theory, algebraic geometry, noncommutative and
homological algebras, quantum groups and spaces, rings of
differential operation, Cech and sheaf cohomology theories, and
dimension theories to create a blend of noncommutative algebraic
geometry. It offers a scheme theory that sustains the duality
between algebraic geometry and commutative algebra to the
noncommutative level.
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