| Z-半连续格 |
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| 引用本文： | 张文锋,徐晓泉.Z-半连续格[J].模糊系统与数学,2012,26(3):148-155. |
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| 作者姓名： | 张文锋 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，江西省教育厅科技基金资助项目，江西省研究生创新专项基金资助项目 |
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| 摘 要： | 作为连续格和半连续格的公共推广,引入了广义理想子系统Z、Z-半连续格及强Z-连续格的概念,讨论了它们的基本性质和Z-半连续格的函数空间的结构,给出了强Z-连续格到方体的嵌入,证明了当子系统Z满足一定条件时,Z-半连续格范畴SCLZ是笛卡儿闭的。
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| 关 键 词： | 广义理想子系统 Z-半连续格 强Z-连续格 Z-半Scott拓扑 函数空间 |
Z-Semicontinuous Lattice |
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| ZHANG Wen-feng
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XU Xiao-quan.Z-Semicontinuous Lattice[J].Fuzzy Systems and Mathematics,2012,26(3):148-155. |
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| Authors: | ZHANG Wen-feng 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: | As a common generalization of continuous lattice and semicontinuous lattices,the concepts of generalized ideal sub-systems,Z-semicontinuous and strongly Z-continuous lattices are introduced,and some basic properties and the structures of function spaces on Z-semicontinuous lattices and strongly Z-continuous lattices are investigated,and an embedding theorem for strongly Z-continuous lattices into a cube is given.It is proved that category SCLZ on Z-semicontinuous lattices is Cartesian closedness when it satisfies certain conditions. |
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| Keywords: | Generalized Ideal Sub-systems Z-semicontinuous Lattice Strongly Z-continuous Lattice Z-semi Scott Topology Function Spaces |
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