http://hdl.handle.net/20.500.12128/14264
Title: | Witt rings of infinite algebraic extensions of global fields |
Authors: | Kozioł, Krzysztof Kula, Mieczysław |
Keywords: | Witt rings; global fields |
Issue Date: | 1998 |
Citation: | Annales Mathematicae Silesianae, Nr 12 (1998), s.131-139 |
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. |
URI: | http://hdl.handle.net/20.500.12128/14264 |
ISSN: | 0860-2107 |
Appears in Collections: | Artykuły (WNŚiT) |
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Koziol_Witt_rings_of_infinite_algebraic.pdf | 597,96 kB | Adobe PDF | View/Open |
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