| 模糊一致环 |
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| 引用本文： | 尚琥. 模糊一致环[J]. 系统科学与数学, 2005, 25(2): 139-144 |
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| 作者姓名： | 尚琥 |
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| 作者单位： | 哈尔滨学院数学与计算机学院,哈尔滨,150080 |
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| 基金项目： | 黑龙江省教育厅科学技术第10540364号项目资助课题. |
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| 摘 要： | 本文定义了模糊一致环概念,研究了它与模糊拓扑环的关系及它与模糊一致空间的关系;给出了借助于环的模糊子集族对模糊一致环的刻画,还引入了模糊一致子环,模糊一致剩余类环与模糊一致环的直积;并讨论了它们的分离性.
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| 关 键 词： | 模糊一致环 模糊一致子环 模糊一致剩余类环 模糊一致环的直积 |
| 修稿时间： | 2004-03-02 |
FUZZY UNIFORM RING |
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| SHANG Hu. FUZZY UNIFORM RING[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(2): 139-144 |
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| Authors: | SHANG Hu |
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| Affiliation: | School of Mathematics and Computer, Harbin Institute, Harbin 150080, China |
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| Abstract: | In this paper, the fuzzy uniform ring, fuzzy uniform subring, fuzzy uniform residue class ring, and direct product of fuzzy uniform rings are defined; the three necessary and sufficient conditions to describe fuzzy uniform ring by the fuzzy topological ring of type (QU), by fuzzy uniform space and by a family of fuzzy subsets of a ring are obtained. |
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| Keywords: | Fuzzy uniform rings fuzzy uniform subring fuzzy unifrom residue class ring direct product of fuzzy uniform rings. |
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