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Undecidability of regularly closed fields

โœ Scribed by Yu. L. Ershov


Book ID
105272927
Publisher
Springer US
Year
1981
Tongue
English
Weight
293 KB
Volume
20
Category
Article
ISSN
0002-5232

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Diophantine Undecidability over Algebrai
โœ Alexandra Shlapentokh ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 825 KB

We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t