| GPF环的若干性质 |
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| 引用本文： | 李福军,王修建.GPF环的若干性质[J].淮北煤炭师范学院学报(自然科学版),2011,32(2). |
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| 作者姓名： | 李福军 王修建 |
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| 作者单位： | 1. 安徽教育出版社,安徽合肥,230601
2. 皖西学院,应用数学学院,安徽六安237012 |
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| 基金项目： | 安徽省高等学校优秀青年人才基金项目(2009SQRZ188); 皖西学院自然科学青年研究项目(WXZQ0708) |
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| 摘 要： | 文章首先介绍纯理想的定义,把纯理想的定义推广到弱纯理想,探讨它的某些内容;随后给出GPF环的概念,得到约化GPF环的一个等价条件;重点讨论约化GPF环的一些性质;最后给出GPF环与GPF模之间的关系.
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| 关 键 词： | GPF环 约化GPF环 弱纯理想 GPF模 |
Some Properties of GPF Rings |
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| LI Fu-jun,WANG Xiu-jian.Some Properties of GPF Rings[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2011,32(2). |
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| Authors: | LI Fu-jun WANG Xiu-jian |
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| Abstract: | Firstly,weakly pure ideals are introduced on the base of pure ideals and some properties of weakly pure ideals are discussed;then GPF rings are introduced in the paper and the equivalence relation of reduced GPF rings is given;and some properties of GPF rings are discussed;finally,the relationship of GPF modules and GPF rings are also given. |
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| Keywords: | GPF rings reduced GPF rings weakly pure ideal GPF modules |
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