4次数环的不具有Goldbach性质的扩环

EXTENSIONS WITHOUT GOLDBACH PROPERTY OF SOME QUARTIC RINGS OF INTEGRERS

用模型论和数论的方法证明了:对于很多4次代数整数环,存在着不具有Gold- bach性质的扩环．

It is shown by number-theoretic and model-theoretic methods that ： For many quartic rings of algebraic integers, there exist extension rings without Goldbach property.