| Quantale中的模糊理想 |
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| 引用本文： | 马崛,周异辉. Quantale中的模糊理想[J]. 西南师范大学学报(自然科学版), 2011, 36(3) |
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| 作者姓名： | 马崛 周异辉 |
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| 作者单位： | 1. 榆林学院数学系,陕西榆林,719000
2. 陕西师范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目，榆林学院高层次人才科研启动金 |
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| 摘 要： | 首先给出了Quantale中模糊理想的概念.其次,研究了Quantale中模糊理想的性质,得出了Quantale中模糊理想与理想之间的关系.最后给出Quantale中模糊理想扩张的定义,并研究了其性质,得到了在Quantale中模糊理想的扩张还是模糊理想的结论.
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| 关 键 词： | 模糊理想 理想 模糊理想扩张 |
Fuzzy Ideals in Quantale |
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| MA Jue,ZHOU Yi-hui. Fuzzy Ideals in Quantale[J]. Journal of southwest china normal university(natural science edition), 2011, 36(3) |
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| Authors: | MA Jue ZHOU Yi-hui |
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| Affiliation: | MA Jue1,ZHOU Yi-hui2 1.Department of Mathematics,Yulin University,Yulin Shaanxi 719000,China,2.School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062 |
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| Abstract: | Firstly,the definitions of fuzzy ideal of Quantale is given,secondly,some properties of it is studied,and the relation of ideal and fuzzy ideals of Quantales is given.At last,the definitions of expansion of fuzzy ideal in Quantales is given,some properties of it is studied,and the authors proved that: in Quantales the expansion of fuzzy ideal is also a fuzzy ideal. |
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| Keywords: | fuzzy ideal ideal the expansion of fuzzy ideal |
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