The Goldbach 3-primes property for polynomial rings over certain infinite fields

作     者：WANG Shiqiang Department of Mathematics, Beijing Normal University, Beijing 100875, China 

作者机构：Department of Mathematics Beijing Normal University Beijing China 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1998年第43卷第15期

页      面：1256-1260页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：theNationalNaturalScienceFoundationofChina(GrantNo .195 710 0 9) 

主　　题：model theory polynomial 3 primes property. 

摘      要：On the basis of Effinger and Hayes’ theorem about the Goldbach 3_primes property of polynomial rings F over finite fields F , by model_theoretic method it is proved that for each characteristic k (including 0), there exist infinitely many infinite fields F such that F also satisfy Goldbach 3_primes property.