子结构与初等扩张之间的关系

子结构与初等扩张之间的关系 THE RELATIONS BETWEEN SUBSTRUCTURE AND EIEMENTARY EXTENSION 李琼章 Li Qiongzhang first-author 本文主要结果:1.得到了的三个等价性定理（即Th5,Th7,Th8）,从而进一步揭示与的差异;2.建立了推广的广义 0 和 0 ,并对 0 得到了对应的等价定理;3.从另一方向上对广义 r 亦作了相应的论述,并证明了{ r |ΓFm}为—Bool代数。从本文的讨论可看出为什么Lowenhim—Skolem定理与一阶理论发生那样紧的联系! The equevalenc relations between "（?）" and "（?）" are discussed. Here our main results are included in Th5, Th7 and Th8. （See this paper）. In this paloer we also introducted two moro general notions: （?） 0 and （?）r, which are the further extensions of "（?）". Here we obtained the results similar fo above, and showed that {（?）Γ, |Γ（?）Fm} is a Bool-algebra. 结构 初等扩张 理论 模型 Structure Elementary extension Theory Model 1987-02-01 2021-04-01 2