实模上序的拓展  

Extensions of Orderings on a Real Module

作　　者：邹群[1] 江慎民[1] 张三强[2] 

机构地区：[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

出　　处：《南昌大学学报（理科版）》2007年第2期120-124,共5页Journal of Nanchang University(Natural Science)

基　　金：南昌航空工业学院基金资助项目(2070009402014)

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。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.

关 键 词：模 模的序 拓展 

分 类 号：O153.3[理学—数学]