Algebraic Geometry for Associative Algebras: 1st Edition (Hardback) book cover

Algebraic Geometry for Associative Algebras

1st Edition

Edited by Freddy Van Oystaeyen

CRC Press

302 pages

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Hardback: 9780824704247
pub: 2000-06-06
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Description

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.

Table of Contents

The noncommutative site; structure sheaves and their sections; regular algebras; valuations and divisors; cohomology theories; a functorial approach; formalizing the topology.

About the Series

Chapman & Hall/CRC Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT002000
MATHEMATICS / Algebra / General