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Book Cover
E-book
Author Caenepeel, Stefaan

Title Brauer Groups and the Cohomology of Graded Rings
Published Boca Raton : Taylor & Francis Group, 1988

Copies

Description 1 online resource (280 p.)
Series Chapman and Hall/CRC Pure and Applied Mathematics ; v.121
Chapman and Hall/CRC Pure and Applied Mathematics
Contents Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Preface -- Contents -- I. Generalized Crossed Products -- I.1 Graded Ring Theory -- I.2 Generalized Crossed Products -- II. Some Results On Commutative Rings Graded -- II.1 Arithmetically Graded Rings -- Il.2 Separability and Graded Galois Extensions -- II.3 Graded Completion and Henselization -- II.4 The Join of gr-Henselian Rings -- III. Graded Brauer Groups And The Crossedproduct Theorems -- III.1 Graded Faithfully Flat Descent -- III.2 Projective Graded Modules -- III.3 Grothendieck and Picard Groups of Graded Rings
III.4 Brauer Groups of Graded Rings -- III.5 Graded Cohomology Groups and the Crossed Product Theorem -- IV. Application To Some Special Cases -- IV.1 Brauer Groups of Graded Fields -- IV.2 Brauer Groups of gr-Local Rings -- IV.3 The Brauer Group of a Graded Ring Modulo a Graded Ideal -- IV.4 Brauer Groups of Regular Graded Rings -- V. Etale Cohomology For Graded Rings -- V.1 Cohomology on the gr-Etale Site -- V.2 Hypercoverings and Verdier's Refinement Theorem -- V.3 Application to the Graded Brauer Group -- V.4 A Graded Version of Gabber's Theorem -- V.5 The Villamayor-Zelinsky Approach
VI. Application -- VI.1 The Brauer-Long Group -- VI.2 The Brauer-Wall Group -- VI.3 Graded Brauer Groups in a Geometrical Context -- References -- Index
Notes Description based upon print version of record
Form Electronic book
Author Van Oystaeyen, Freddy
ISBN 9781000147216
1000147215