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| 理想簇和根理想 | |
| 引用本文： | 郑金亮,杜先能,操晓娟.理想簇和根理想[J].大学数学,2010,26(3). |
| 作者姓名： | 郑金亮 杜先能 操晓娟 |
| 作者单位： | 1. 安徽大学,江淮学院,计算机科学与电子技术系,安徽,合肥,230031 2. 安徽大学,数学科学学院,合肥,230039 3. 合肥师范学院,合肥,230061 |
| 摘 要： | 关于环的理想的根有两种定义,一种是所有包含I的极大理想的交,另一种是所有包含I的素理想交,本文主要研究后者定义的一些性质,以及和理想簇V(I)(所有包含I的素理想的集合)的关系. |
| 关 键 词： | 理想簇 素理想 根理想 理想的根 |
The Variety of Ideal and Radical Ideal |
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| ZHENG Jin-liang,DU Xian-neng,CAO Xiao-juan.The Variety of Ideal and Radical Ideal[J].College Mathematics,2010,26(3). | |
| Authors: | ZHENG Jin-liang DU Xian-neng CAO Xiao-juan |
| Abstract: | there are two definitions about radical of an ideal I of a ring R,one definition of the radical is defined as the intersection of all maximum ideals of R containing I,the other is defined as the intersection of all prime ideals of R containing I.In this article we discuss mainly the latter definition. |
| Keywords: | variety of ideal prime ideal ralcal ideal the radical of ideal |
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