| 一类由模糊理想诱导出的软商环 |
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| 引用本文： | 刘先平. 一类由模糊理想诱导出的软商环[J]. 湖北民族学院学报(自然科学版), 2012, 0(3): 263-265 |
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| 作者姓名： | 刘先平 |
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| 作者单位： | 湖北民族学院 理学院 |
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| 基金项目： | 国家自然科学基金项目(61175055);湖北省教育厅自然科学研究项目(B20122904) |
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| 摘 要： | 根据环的模糊理想定义一种等价关系把环的元素进行分类,再给出等价类的两种运算,验证等价类构成的集合对给出的两种运算构成一个环,称为商环.进一步由模糊理想诱导出一类理想化软环的软商环,并讨论这类软商环的基本性质.
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| 关 键 词： | 模糊理想 等价关系 商环 理想化软环 软商环 |
A Kind of Soft Quotient Rings Induced by Fuzzy Ideals |
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| LIU Xian-ping. A Kind of Soft Quotient Rings Induced by Fuzzy Ideals[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2012, 0(3): 263-265 |
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| Authors: | LIU Xian-ping |
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| Affiliation: | LIU Xian-ping (School of Science,Hubei University for Nationalities,Enshi 445000,China) |
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| Abstract: | An equivalence relation is defined by fuzzy ideals and equivalence classes of a ring are given, and two operations of the equivalence classes are given,then the set of all equivalence classes is proved to be a ring,which is called quotient ring.Furthermore,a kind of soft quotient ring induced by fuzzy ideals is introduced and some properties of it are given. |
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| Keywords: | Fuzzy ideal equivalence relation quotient ring soft quotient ring |
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