Valuations and diameters of Milnor \(K\)-rings

DOI10.1007/s11856-009-0064-3zbMath1197.19001OpenAlexW1989348712MaRDI QIDQ731357

Ido Efrat

Publication date: 2 October 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0064-3

zbMATH Keywords

valuationsfield arithmeticgeneralized Milnor K-theoryk-structures

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Higher symbols, Milnor (K)-theory (19D45) Field arithmetic (12E30) Valued fields (12J10) Steinberg groups and (K_2) (19C99) (K)-theory in number theory (19F99)

Related Items (1)

On graphs and valuations.

Cites Work

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• Quotients of Milnor \(K\)-rings, orderings, and valuations
• Rigid elements, valuations, and realization of Witt rings
• On the structure of Pythagorean fields
• On finite homomorphic images of the multiplicative group of a division algebra
• Demuškin fields with valuations
• Construction of valuations from \(K\)-theory
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Valuation Rings and Rigid Elements in Fields
• Multiplicative Subgroups of Finite Index in a Ring
• Multiplicative Subgroups of Finite Index in a Division Ring
• Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable
• Brauer Group Analogues of Results Relating the Witt Ring to Valuations and Galois Theory
• Compatible valuations and generalized Milnor 𝐾-theory
• Valuation-like maps and the congruence subgroup property

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