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5. Stone's representation theorem in fuzzy topology

Stone's representation theorem in fuzzy topology

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：liongliong598

【摘 要】

：

In this paper, a complete solution to the problem of Stone's repesentation theorem in fuzzy topology is given for a class of completely distributive lattice

【作 者】

：

LIU Yingming(刘应明) ZHANG Dexue( 

【机 构】

：

DepartmentofMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2003年6期

【关键词】

：

DISTRIBUTIVE lattice L-topological space Stone's representation theorem f 

【基金项目】

：

国家自然科学基金，国家重点基础研究发展计划(973计划)，the Science Foundation of MOE of China，教育部霍英东教育基金

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In this paper, a complete solution to the problem of Stone's repesentation theorem in fuzzy topology is given for a class of completely distributive lattices. Precisely, it is proved that if L is a frame such that 0 ∈ L is a prime or 1 ∈ L is a coprim

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