非标准模型中＊-映射的刻画  

＊ -Mapping of the Nonstandard Model

作　　者：冯晶晶[1] 史艳维[1] 

机构地区：[1]西安培华学院基础部,陕西西安710125

出　　处：《许昌学院学报》2013年第2期17-18,共2页Journal of Xuchang University

基　　金：陕西省教育厅专项科学研究项目(11JK0507)

摘　　要：在非标准模型下,首先介绍了超结构的超幂模型及其有关结论.其次给出了M-映射和e-映射的定义以及这两个映射的性质,得出了*-映射是由M-映射和e-映射合成的,即得出了*-映射的本质构造.最后给出了*-映射的性质.The ultrapowers of the superstructure and some related conclusions in the nonstandard model are first introduced. Then the definitions and properties of the M - mapping and e - mapping are presented. Based on it, it is proved that M - mapping and e - mapping compose the ＊ - mapping, and the natural construction of ＊ -mapping is given. Finally, a property of ＊ -mapping is proved.

关 键 词：超幂模型 M-映射 e-映射  ＊-映射 

分 类 号：O141.41[理学—数学]