| 关于广义商环和它的实性 |
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| 引用本文： | 艾小伟.关于广义商环和它的实性[J].南昌航空工业学院学报,2004,18(1):28-33,57. |
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| 作者姓名： | 艾小伟 |
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| 作者单位： | 南昌航空工业学院信息与计算科学系,江西南昌330034 |
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| 摘 要： | 提出了乘法正向理想族的概念，研究了广义商环QJ（R）的结构和性质。它分二部分，第一部分考察了广义商环QJ（R）的结构和一般性质，第二部分研究了广义商环QJ（R）的实性，得出了QJ（R）成为实环的几个条件。
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| 关 键 词： | 乘法正向理想族 广义商环 |
| 文章编号： | 1001-4926（2004）01-0028-06 |
| 收稿时间： | 2003-09-24 |
| 修稿时间： | 2003-09-24 |
On the Generalized Quotient Rings and Their Reality |
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| AI Xiao-wei.On the Generalized Quotient Rings and Their Reality[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2004,18(1):28-33,57. |
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| Authors: | AI Xiao-wei |
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| Institution: | Nanchang Institute of Aeronautical Technology, Jiangxi, Nanchang 330024 |
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| Abstract: | The purpose of this paper is to investigate the so - called mulfiplicafively directed families of ideals and their generalized quotient rings.This paper is divided into two sections. In the first section,We give the structure of the generalized quotient ring for a mulfiplicatively directed family of ideals, and obtain some basic property of the quotient ring. In section 2, We establish some conditions for a generalized quotient ring to be real. |
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| Keywords: | multiplicatively directed families of ideals generalized quotient tings |
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