| 实模上序的拓展 |
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| 引用本文： | 邹群,江慎民,张三强.实模上序的拓展[J].南昌大学学报(理科版),2007,31(2):120-124. |
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| 作者姓名： | 邹群 江慎民 张三强 |
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| 作者单位： | 1. 南昌航空工业学院,信息与计算科学系,江西,南昌,330034
2. 景德镇陶瓷学院,信息工程学院,江西,景德镇,333001 |
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| 基金项目： | 南昌航空工业学院校科研和教改项目 |
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| 摘 要： | 主要目的是将交换环上序的拓展的结论推广到模上.首次提出了"模的序的拓展"的定义,并得到了模的序可拓展的充要条件.方法是通过取模的局部化以及商模,使环上的模的问题转化到域上来解决.
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| 关 键 词： | 模 模的序 拓展 Real Module 转化 问题 环上的模 商模 局部化 取模 方法 条件 结论推广 交换环 |
| 文章编号： | 1006-0464（2007）02-0120-05 |
| 修稿时间： | 2005-09-09 |
Extensions of Orderings on a Real Module |
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| ZOU Qun,JIAN Shen-min,ZHANG San-qiang.Extensions of Orderings on a Real Module[J].Journal of Nanchang University(Natural Science),2007,31(2):120-124. |
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| Authors: | ZOU Qun JIAN Shen-min ZHANG San-qiang |
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| Affiliation: | 1. Department of Information and Computation Sciences, Nanchang Institute of Aeronautical Technology, Nanchang 330034, China; 2. School of Information Engineering, Jingdezhen Ceramic Institute, Jiangxi Jingdezhen 333001, China |
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| Abstract: | The main aim of this paper is to generalize some results on extensions of orderings from communitives ring to modules. It introduces the concept of an extension of ordering on a module at the first time, then we obtain a sufficient and necessary condition for the extensibility of orderings on a modules. The technique of this paper is to reduce the case of modules to that of vector spaces by taking localizations and quotients of modules. |
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| Keywords: | module ordering on module extension |
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