| 形式实模的核心 |
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| 引用本文： | 邹群,曾广兴,漆志鹏.形式实模的核心[J].数学物理学报(A辑),2014,34(3):619-625. |
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| 作者姓名： | 邹群 曾广兴 漆志鹏 |
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| 作者单位： | 1.南昌航空大学 数学与信息科学学院 南昌 330063|
2.南昌大学 数学与系统科学学院 南昌 330031 |
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| 摘 要： | 通过含单位元的交换环的实素理想构造出对应的模的实素子模,得到模的序存在的一个充要条件,并对模的所有序的支集的交集(文中称作"模的核心")作出一定的刻划,找到了判断模中的元素属于模的核心的充要条件.
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| 关 键 词： | 模 模的序 模的核心 关于m不动的理想. |
| 收稿时间： | 2011-03-29 |
| 修稿时间： | 2013-10-29 |
The Core on a Real Module |
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| ZOU Qun,ZENG Guang-Xing,QI Zhi-Peng.The Core on a Real Module[J].Acta Mathematica Scientia,2014,34(3):619-625. |
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| Authors: | ZOU Qun ZENG Guang-Xing QI Zhi-Peng |
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| Institution: | 1.College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063;
2.Department of Mathematics, Nanchang University, Nanchang 330031 |
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| Abstract: | The main aim of this paper is to obtain a sufficient and necessary condition for existent of orderings on a module through obtaining a real prime submodule corresponding the real prime ideal of a commutative ring with identity 1. Then, the intersection of all orderings on a module (It is intitule ``The Core on a Real Modul" in this paper) are characterized.
The most important conclusion in this paper is a sufficient and necessary condition is obtained for judging a element of modul belongs to the core of modul. |
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| Keywords: | Modulezz Orderings on a modulezz The core on a modulezz Fixed ideal about mzz |
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