| R_0代数中素理想的拓扑性质 |
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| 引用本文： | 吴洪博,李海霞.R_0代数中素理想的拓扑性质[J].福建师范大学学报(自然科学版),2009,25(1). |
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| 作者姓名： | 吴洪博 李海霞 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金，陕西师范大学重点科研项目 |
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| 摘 要： | 讨论了R0代数中理想、素理想的基本性质,在R0代数M的全体理想集I(M)上定义了格运算,证明了如此定义的格是有界分配格.在M的全体素理想之集PI(M)上构造了拓扑,证明了PI(M)是紧致的T0空间.
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| 关 键 词： | 模糊逻辑 R0代数 理想 素理想 紧致空间 |
The Topological Properties of Prime Ideals in R_0-algebra |
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| WU Hong-bo,LI Hai-xia.The Topological Properties of Prime Ideals in R_0-algebra[J].Journal of Fujian Teachers University(Natural Science),2009,25(1). |
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| Authors: | WU Hong-bo LI Hai-xia |
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| Institution: | College of Mathematics and Information Science;Shaanxi Normal University;Xian 710062;China |
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| Abstract: | Some basic properties of ideals and prime ideals in R0-algebra are discussed.The lattice operations are defined on the set of all ideals in R0-algebra M.The ideal lattice defined as above is bounded and distributive.The topological structure on the set of all prime ideals are introduced.It is proved that the set of all prime ideals is a compact T0 topological space. |
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| Keywords: | fuzzy-logic R_0-algebra ideal prime ideal compact space |
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