Algebraic Geometry for Associative Algebras

Algebraic Geometry for Associative Algebras

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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.D At this point one may be convinced that schematic algebras of finite global dimension have all the aquot;homologicalaquot; ... 5.1.12 Conjecture A schematic domain of finite global dimension is Auslander regular. Note that ... ip) E /p+1, write Wa = Wii .

Title:Algebraic Geometry for Associative Algebras
Author: Freddy Van Oystaeyen
Publisher:CRC Press - 2000-06-06

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