Algebraic geometry for associative algebras /

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Bibliographic Details
Author / Creator:Oystaeyen, F. Van, 1947-
Imprint:New York : M. Dekker, c2000.
Description:vi, 287 p. ; 24 cm.
Language:English
Series:Monographs and textbooks in pure and applied mathematics 232
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4301111
Hidden Bibliographic Details
ISBN:082470424X
Notes:Includes bibliographical references p. (271-280) and index.

MARC

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245 1 0 |a Algebraic geometry for associative algebras /  |c Freddy van Oystaeyen. 
260 |a New York :  |b M. Dekker,  |c c2000. 
300 |a vi, 287 p. ;  |c 24 cm. 
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440 0 |a Monographs and textbooks in pure and applied mathematics  |v 232 
504 |a Includes bibliographical references p. (271-280) and index. 
505 0 0 |g Ch. 1.  |t The Noncommutative Site.  |g 1.1.  |t Affine Schematic Algebras.  |g 1.2.  |t Proj and Schematic Algebras.  |g 1.3.  |t Schemes on the Noncommutative Site --  |g Ch. 2.  |t Structure Sheaves and their Sections.  |g 2.1.  |t Serre's Global Section Theorem on the Noncommutative Site.  |g 2.2.  |t The Quantum Site.  |g 2.3.  |t Quantum Sections. Examples.  |g 2.4.  |t Almost Commutative Geometry.  |g 2.4.A.  |t Sheaves of Localizations.  |g 2.4.B.  |t Sheaves of Microlocalizations and Quantum Sections.  |g 2.4.C.  |t Quantized Formal Schemes --  |g Ch. 3.  |t Regular Algebras.  |g 3.1.  |t Some Facts about Dimensions.  |g 3.2.  |t Regularity Conditions.  |g 3.3.  |t Short Survey of Results on Low Dimensional Regular Algebras --  |g Ch. 4.  |t Valuations and Divisors.  |g 4.1.  |t Valuations of Skewfields.  |g 4.2.  |t Filtrations for Totally Ordered Groups.  |g 4.3.  |t Valuation Filtrations and Extensions.  |g 4.4.  |t Reductions of Algebras.  |g 4.5.  |t Introduction of a Divisor Theory on Weyl Fields --  |g Ch. 5.  |t Cohomology Theories.  |g 5.1.  |t Cohomology of Schematic Algebras.  |g 5.2.  |t Cech Cohomology --  |g Ch. 6.  |t A Functorial Approach.  |g 6.1.  |t Group Objects.  |g 6.2.  |t Quantum Groups.  |g 6.3.  |t Multiplicative Matrices.  |g 6.4.  |t Braided Categories.  |g 6.5.  |t Some Invariants of Braided Categories and Quantum Groups --  |g Ch. 7.  |t Formalizing the Topology.  |g 7.1.  |t The Lattice-Type Approach.  |g 7.2.  |t Skew Grothendieck-Topologies.  |g 7.3.  |t Elements of Sheaf Theory over Skew Topologies. 
650 0 |a Geometry, Algebraic.  |0 http://id.loc.gov/authorities/subjects/sh85054140 
650 0 |a Associative algebras.  |0 http://id.loc.gov/authorities/subjects/sh85008821 
650 0 |a Algebraic topology.  |0 http://id.loc.gov/authorities/subjects/sh85003438 
650 0 |a Schemes (Algebraic geometry)  |0 http://id.loc.gov/authorities/subjects/sh85118107 
650 0 |a Grothendieck groups.  |0 http://id.loc.gov/authorities/subjects/sh85057445 
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650 7 |a Geometry, Algebraic.  |2 fast  |0 http://id.worldcat.org/fast/fst00940902 
650 7 |a Grothendieck groups.  |2 fast  |0 http://id.worldcat.org/fast/fst00948129 
650 7 |a Schemes (Algebraic geometry)  |2 fast  |0 http://id.worldcat.org/fast/fst01106668 
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927 |t Library of Congress classification  |a QA564.O97 2000  |l Eck  |c Eck-Eck  |b 56244181  |i 6882732