| 粗糙除环、粗糙域和粗糙整环 |
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| 引用本文： | 陈丽新,李进金.粗糙除环、粗糙域和粗糙整环[J].模糊系统与数学,2009,23(4). |
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| 作者姓名： | 陈丽新 李进金 |
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| 作者单位： | 1. 漳州师范学院,数学与信息科学系,福建,漳州,363000;漳州师范学院,计算机科学与工程系,福建,漳州,363000
2. 漳州师范学院,数学与信息科学系,福建,漳州,363000 |
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| 基金项目： | 国家自然科学基金资助项目，福建省自然科学基金资助项目 |
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| 摘 要： | 对粗糙集上代数结构进行了研究,引入了粗糙除环、粗糙域和粗糙整环等概念.利用粗糙集理论方法和经典代数中的处理手段,讨论了粗糙除环和它们的结构特征,得到了它们的一些良好的性质.
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| 关 键 词： | 粗糙环 粗糙域 粗糙整环 |
Rough Divided Ring,Rough Field and Rough Integral Ring |
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| CHEN Li-xin,LI Jin-jin.Rough Divided Ring,Rough Field and Rough Integral Ring[J].Fuzzy Systems and Mathematics,2009,23(4). |
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| Authors: | CHEN Li-xin LI Jin-jin |
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| Institution: | 1.Department of Mathematics and Information Science;Zhangzhou Normal University;Zhangzhou 363000;China;2.Department of Computer Science and Engineer;China |
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| Abstract: | In this paper,the algebraic structure of rough sets are studied. The concepts of rough divided ring and rough field and rough integral ring are introduced. Their structure characteristics those of rough divided ring are discussed and some good characters are produced and proved through the method of rough sets theory and the managing method in sutra algebra. |
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| Keywords: | Rough Ring Rough Field Rough Integral Ring |
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