Value Functions on Simple Algebras, and Associated Graded Rings/

By: Tignol, Jean-Pierre, WadsworthMaterial type: TextTextPublication details: New York: Springer, ISBN: 978-3-319-16360-4 Online resources: Click here to access online
Contents:
Valuations on Division Rings Graded Algebra Value Functions Existence and Fundamental Properties of Gauges Graded and Valued Field Extensions Brauer Groups Total Ramification Division Algebras over Henselian Fields Subfields and Splitting Fields of Division Algebras Indecomposable Division Algebras Computation of SK1(D) The Essential Dimension of Central Simple Algebras
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Valuations on Division Rings


Graded Algebra


Value Functions


Existence and Fundamental Properties of Gauges


Graded and Valued Field Extensions


Brauer Groups

Total Ramification

Division Algebras over Henselian Fields

Subfields and Splitting Fields of Division Algebras

Indecomposable Division Algebras

Computation of SK1(D)

The Essential Dimension of Central Simple Algebras

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