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 

出　　处：《Chinese Science Bulletin》1998年第15期1256-1260,共5页

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

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.On the basis of Effinger and Hayes’ theorem about the Goldbach 3-primes property of polynomial rings F[x] over finite fieldsF, by model-theoretic method it is proved that for each characteristick (including 01, there exist infinitely many infinite fieldsF such that F[x] also satisfy Goldbach 3-primes property.

关 键 词：model THEORY POLYNOMIAL 3 PRIMES property. 

分 类 号：O153.3[理学—数学]