| 正规环的Fuzzy双侧理想 |
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| 引用本文： | 邹开其,刘晓东.正规环的Fuzzy双侧理想[J].模糊系统与数学,1993,7(2):25-32. |
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| 作者姓名： | 邹开其 刘晓东 |
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| 作者单位： | 大连海运学院
(邹开其)，大连海运学院(刘晓东) |
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| 摘 要： | 本文首先提出正规环的Fuzzy双侧理想的定义,讨论了Fuzzy双侧理想和Fuzzy理想之间的关系,给出对环、Fuzzy对环、左(右)零环等概念,并在正规环中研究了它们的性质。最后在超正规环和完全正规环中研究了Fuzzy双侧理想和Fuzzy理想,得出一些有趣的结果。
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| 关 键 词： | 正规环 对环 超正规环 模糊双侧理想 模糊对环 |
Fuzzy Bi-ideals in Regular Ring |
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| Zou Kaiqi Liu Xiaodong.Fuzzy Bi-ideals in Regular Ring[J].Fuzzy Systems and Mathematics,1993,7(2):25-32. |
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| Authors: | Zou Kaiqi Liu Xiaodong |
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| Abstract: | In this paper we propose the definition of fuzzy bi-ideals in regular ring first, and discuss the relation between fuzzy bi-ideals and fuzzy ideals, we give some concepts of duo, fuzzy duo, left zero ad right zero; and discuss their properties in regular ring. Finally, fuzzy bi-ideals and fuzzy ideals are also stydied in intra-regular ring and completely regular ring. We have got better results. |
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| Keywords: | Regular ring Fuzzy bi-ideal Duo ring Fuzzy duo ring Intra-regular ring |
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