Stefaan Caenepeel

Brauer Groups and the Cohomology of Graded Rings (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 280
• Erscheinungstermin: 26. August 2020
• Englisch
• ISBN-13: 9781000103786
• Artikelnr.: 59811588

Autorenporträt

Stephaan Caenepeel

Inhaltsangabe

Generalized Crossed Products Graded Ring Theory Generalized Crossed
Products Some Results on Commutative Graded Rings Arithmetically Graded
Rings Separability and Graded Galois Extensions Graded Completion and
Henselization The Join of gr-Henselian Rings Graded Brauer Groups and the
Crossed Product Theorems Graded Faithfully Flat Descent Projective Graded
Modules Grothendieck and Picard Groups of Graded Rings Brauer Groups of
Graded Rings Graded Cohomology Groups and the Crossed Product Theorem
Application to Some Special Cases Brauer Groups of Graded Fields Brauer
Groups of gr-Local Rings The Brauer Group of a Graded Ring Modulo a Graded
Ideal Brauer Groups of Regular Graded Rings Etale Cohomology for Graded
Rings Cohomology on the gr-Etale Site Hypercoverings and Verdier's
Refinement Theorem Application to the Graded Brauer Group A Graded Version
of Gabber's Theorem The Villamayor-Zelinsky Approach Applications The
Brauer-Long Group The Brauer-Wall Group Graded Brauer Groups in a
Geometrical Context References