| Z-连通集系统及其范畴特征 |
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| 引用本文： | 尚云,赵彬.Z-连通集系统及其范畴特征[J].数学学报,2004,47(6):1141-114. |
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| 作者姓名： | 尚云 赵彬 |
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| 作者单位： | 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(10271069)，高等学校优秀青年教师教学科研奖励计划，陕西师范大学研究生培养创新基金 |
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| 摘 要： | 本文引入了Z-连通集系统的概念,讨论了Z-连通连续偏序集的一系列性 质,证明了Z-连通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： | Z-连通集系统 Z-连通连续偏序集 完全分配格 |
| 文章编号： | 0583-1431(2004)06-1141-08 |
Z-Connected Set System and Its Category Character |
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| Yun SHANG Bin ZHAO.Z-Connected Set System and Its Category Character[J].Acta Mathematica Sinica,2004,47(6):1141-114. |
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| Authors: | Yun SHANG Bin ZHAO |
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| Institution: | Yun SHANG Bin ZHAO
(College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P. R. China) |
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| Abstract: | In this paper, the concepts of Z-connected set system is introduced, and then a series of properties of Z-connected continuous poset are discussed, we mainly prove that the category of Z-connected continuous posets is dually equivalent to a full subcategory of the category of completely distributive lattices. |
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| Keywords: | Z-connected set system Z-connected continuous poset Completely dis-tributive lattice |
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