| Fuzzy HX环的推广 |
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| 引用本文： | 彭家寅,李洪兴.Fuzzy HX环的推广[J].数学进展,2006,35(1):67-74. |
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| 作者姓名： | 彭家寅 李洪兴 |
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| 作者单位： | 1. 内江师范学院数学系,内江,四川,641112
2. 北京师范大学数学系,北京,100875 |
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| 基金项目： | 中国科学院资助项目;科技部科研项目;四川省教育厅资助项目 |
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| 摘 要： | 为改进Fuzzy HX环的结果,使之包含Fuzzy商环,提出了弱Fuzzy HX环的概念,研究了它的性质与结构,并重新讨论了拟Fuzzy商环,证明了在正则条件下拟Fuzzy商环与弱Fuzzy HX环的统一性：同时也得到了一致弱Fuzzy HX环与普通Fuzzy商环的关系。
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| 关 键 词： | 环 弱HX环 Fuzzy HX环 弱Fuzzy HX环 正则弱Fuzzy HX环 一致弱Fuzzy HX环 |
| 文章编号： | 1000-0917（2006）01-0087-08 |
| 收稿时间： | 2004-03-09 |
| 修稿时间： | 2004年3月9日 |
Generalization of Fuzzy HX Ring |
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| PENG Jia-yin,LI Hong-xing.Generalization of Fuzzy HX Ring[J].Advances in Mathematics,2006,35(1):67-74. |
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| Authors: | PENG Jia-yin LI Hong-xing |
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| Abstract: | In order to improve the results of fuzzy HX-ring such that they contain fuzzy quotient ring, the concept of weak fuzzy HX-ring is proposed, their properties and structures are discussed and the quasi-fuzzy quotient ring is rediscussed. Under some condition, some relations between quasi-fuzzy quotient rings and weak Fuzzy HX ring are established. Also some relations between uniform weak fuzzy HX ring and fuzzy quotient rings are obtained. |
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| Keywords: | ring fuzzy HX ring weak fuzzy HX ring regular weak fuzzy HX ring uniform fuzzy HX ring fuzzy quotient ring quasi-fuzzy quotient ring |
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