Value Functions on Simple Algebras, and Associated Graded Rings
This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Springer Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Valuations on Division Rings
- Graded Algebra
- Value Functions
- Existence and Fundamental Properties of Gauges
- Graded and Valued Field Extensions
- Brauer Groups
- Total Ramifcation
- 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