| Z_S-相容连续偏序集及其相关范畴性质 |
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| 引用本文： | 郭智莲,杨海龙.Z_S-相容连续偏序集及其相关范畴性质[J].模糊系统与数学,2009,23(1). |
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| 作者姓名： | 郭智莲 杨海龙 |
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| 作者单位： | 1. 西北政法大学,经济管理学院,陕西,西安,710063
2. 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，陕西师范大学青年科技项目 |
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| 摘 要： | 引入了Zs-相客集系统的概念,讨论了Zs-相客连续偏序集的一系列性质.证明了Zs-相容连续偏序集范畴对偶等价于完全分配格范畴的一个满子范畴.
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| 关 键 词： | Zs-相容完备偏序集 Zs-相容连续偏序集 对俩等价 |
Z_S-consistent Poset and Its Category Propertity |
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| GUO Zhi-lian,YANG Hai-long.Z_S-consistent Poset and Its Category Propertity[J].Fuzzy Systems and Mathematics,2009,23(1). |
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| Authors: | GUO Zhi-lian YANG Hai-long |
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| Institution: | 1.School of Economics and Management;Northwest University of Politics and Law;Xi'an 710063;China;2.College of Mathematics and Information Science;Shaanxi Normal University;Xi'an 710062;China |
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| Abstract: | The ZS-consistent poset system is indroduced,and some properties of ZS-consistent continuous poset are discussed.We have mainly proved that the category of ZS-consistent continuous poset is dually equivalent to a full subcategory of the category of completely distributive lattices. |
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| Keywords: | ZS-consistent Complete Poset ZS-consistent Continuous Poset Dual Equivalence |
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