| 半连续格的半素极小集与序同态扩张 |
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| 引用本文： | 康建平,徐晓泉.半连续格的半素极小集与序同态扩张[J].模糊系统与数学,2012,26(2):142-146. |
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| 作者姓名： | 康建平 徐晓泉 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西南昌,330022 |
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| 基金项目： | 国家自然科学基金资助项目，高等学校全国优秀博士学位论文作者专项资金资助项目，江西省自然科学基金资助项目，江西省教育厅科学基金资助项目 |
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| 摘 要： | 对完备格引入半素极小集的概念,证明完备格L为半连续格当且仅当L中的每个元在L中存在半素极小集,给出半连续格的两个序同态扩张定理.
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| 关 键 词： | 半连续格 强连续格 半素极小集 序同态扩张 |
Semiprime Minimal Sets of Semicontinuous Lattices and Homomorphic Extensions |
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| KANG Jian-ping
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XU Xiao-quan.Semiprime Minimal Sets of Semicontinuous Lattices and Homomorphic Extensions[J].Fuzzy Systems and Mathematics,2012,26(2):142-146. |
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| Authors: | KANG Jian-ping XU Xiao-quan |
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| Institution: | (College of Math.and Information Sci.,Jiangxi Normal University,Nanchang 330022,China) |
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| Abstract: | The concept of semiprime minimal sets is introduced for complete lattices.It is proved that a complete lattice L is semicontinuous if and only if every element a of L has a semiprime minimal set.Two extension theorems of homomorphisms between semicontinuous lattices are obtained. |
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| Keywords: | Semicontinuous Lattice Strongly Continuous Lattice Semiprime Minimal Set Homomorphic Extension |
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