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Witt rings of infinite algebraic extensions of global fields
Authors:
- Krzysztof Kozioł,
- Mieczysław Kula
Abstract
In this paper we discuss the problem to carry over the well-known Minkowski-Hasse local-global principle to the context of an infinite algebraic extension of the rationals or the rational function fields Wq(x) over finite fields. Applying this result we give a new proof of the elementary type conjecture for Witt rings of infinite algebraic extensions of global fields. This generalizes a result of I. Efrat [Ef] who proved, using Galois cohomology methods, a similar fact for algebraic extensions of the rationals.
- Record ID
- USLe685e655d1aa4a30994e9946f3ce368d
- Author
- Journal series
- Annales Mathematicae Silesianae, ISSN 0860-2107
- Issue year
- 1998
- No
- 12
- Pages
- 131-139
- Publication size in sheets
- 0.40
- Keywords in English
- Witt rings, global fields
- Handle.net URL
- hdl.handle.net/20.500.12128/14264 Opening in a new tab
- Language
- pol (pl) Polish
- File
-
- File: 1
- Witt rings of infinite algebraic extensions of global fields, File Koziol_Witt_rings_of_infinite_algebraic.pdf / 597 KB
- Koziol_Witt_rings_of_infinite_algebraic.pdf
- publication date: 06-02-2024
- Witt rings of infinite algebraic extensions of global fields, File Koziol_Witt_rings_of_infinite_algebraic.pdf / 597 KB
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- Score (nominal)
- 0
- Score source
- journalList
- Uniform Resource Identifier
- https://opus.us.edu.pl/info/article/USLe685e655d1aa4a30994e9946f3ce368d/
- URN
urn:uni-kat-prod:USLe685e655d1aa4a30994e9946f3ce368d
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