Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic

被引：6
|
作者：
Pheidas, T [1 ]
机构：
[1] Univ Crete, Dept Math, Iraklion 71409, Greece
来源：
JOURNAL OF ALGEBRA | 2004年 / 273卷 / 01期
关键词：
decidability; rational function fields; elliptic curves;
D O I：
10.1016/j.jalgebra.2003.07.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the theory of elliptic curves, we develop techniques by which we prove that the theory of a function field F(t) of positive characteristic p greater than or equal to 5, in the language of rings augmented by a symbol for t, is undecidable. (C) 2004 Elsevier Inc. All rights reserved.
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页码：395 / 411
页数：17
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