| 可数余定向极大集的若干性质 |
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| 引用本文： | 占诗源,姜广浩.可数余定向极大集的若干性质[J].天津师范大学学报(自然科学版),2014(3):24-26. |
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| 作者姓名： | 占诗源 姜广浩 |
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| 作者单位： | 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： | 国家自然科学基金资助项目（11011001,11361028）;安徽高等学校省级自然科学研究重点资助项目（KJ2013A236） |
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| 摘 要： | 基于对偶可数连续格对可数余定向极大集进行研究.讨论了对偶可数连续格的一些内部刻画,获得了对偶可数连续格构成完全分配格的一个充分条件,并探究了完全分配格的若干个内部刻画.
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| 关 键 词： | 对偶可数连续格 可数余定向极大集 完全分配格 |
Some properties of countable filtered maximal sets |
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| ZHAN Shiyuan,JIANG Guanghao.Some properties of countable filtered maximal sets[J].Journal of Tianjin Normal University(Natural Science Edition),2014(3):24-26. |
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| Authors: | ZHAN Shiyuan JIANG Guanghao |
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| Institution: | (College of Mathematics Science, Huaibei Normal University, Huaibei 235000, Anhui Province, China) |
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| Abstract: | Countable filtered maximal sets are studied based on dually countable continuous lattices. Some intrinsic characterizations of dually countable continuous lattices are given. A sufficient condition which turning dually countable continuous lattices to be completely distributive is obtained, and several intrinsic characterizations of completely distributive lattices are studied. |
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| Keywords: | dually countable continuous lattices countable filtered maximal sets completely distributive lattice |
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