| 广义完全分配格 |
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| 引用本文： | 吴云标,卢涛.广义完全分配格[J].松辽学刊,2013(4):77-81. |
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| 作者姓名： | 吴云标 卢涛 |
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| 作者单位： | [1]河海大学文天学院基础部,安徽马鞍山243031 [2]淮北师范大学数学科学学院,安徽淮北235000 |
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| 基金项目： | 安徽省自然科学研究项目（KJ20122358） |
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| 摘 要： | 本文研究了广义完全分配格和强伪代数格的一些代数性质和拓扑性质，并给出它们的一些刻画．证明了广义完全分配格关于上拓扑是sober空间．
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| 关 键 词： | 广义完全分配格 超连续格 上拓扑 sober空间 强伪代数格 |
Generalized Completely Distributive Lattices |
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| WU Yun-biao,LU Tao.Generalized Completely Distributive Lattices[J].Songliao Journal (Natural Science Edition),2013(4):77-81. |
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| Authors: | WU Yun-biao LU Tao |
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| Institution: | 1. Basic Research Department of Hohai University Wentian College, Hehai University, Maanshan 243031, China ; 2. School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, China) |
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| Abstract: | In this paper, we investigate some algebraic and topological properties of generalized completely distributive lattices and strongly pseudoalgebraic lattices, and give them some characterizations. We prove that the generalized completely distributive lattice is a sober space in the upper topology. |
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| Keywords: | generalized completely distributive lattice hypercontinuous lattice upper topology sober space strongly pseudoalgebraic lattice |
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