| 限制到理想时模理论的初等性质的保持性 |
| |
| 引用本文： | 王捍贫.限制到理想时模理论的初等性质的保持性[J].北京大学学报(自然科学版),1997,33(1):104-109. |
| |
| 作者姓名： | 王捍贫 |
| |
| 作者单位： | 北京大学计算机科学和技术系，北京，100871 |
| |
| 摘 要： | 设I是有单位元的环R的一个理想，MR是一个R-模，则MR也可看作一个I-模MI。证明了MR与MI之间，模理论的纯性、纯入射性、初等等价、初等嵌入等初等性质都是保持的。
|
| 关 键 词： | 模型论 模理论 初等性质 |
| 收稿时间： | 1996-02-05 |
Preservation of Elementary Properties of the Theory of Modules when Their Underlying Ring is Limited to an Ideal of the Ring |
| |
| WANG\ Hanpin.Preservation of Elementary Properties of the Theory of Modules when Their Underlying Ring is Limited to an Ideal of the Ring[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1997,33(1):104-109. |
| |
| Authors: | WANG\ Hanpin |
| |
| Institution: | Department of Computer Science and Technology, Peking University, Beijing, 100871 |
| |
| Abstract: | Let R be an ideal of a ring with unity, M R be a R module. Then M also can be viewed as a I module. It is proved that some elementavy properties of the theory of modules, such as purity, pure injectivity, elementary equivalent, elementary embedding etc. are preserved between M R and M I . |
| |
| Keywords: | model theory theory of modules elementary properties |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《北京大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《北京大学学报(自然科学版)》下载免费的PDF全文 |
