| Z-半连续格上的Z-半基和局部Z-半基 |
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| 引用本文： | 万潇,杨金波.Z-半连续格上的Z-半基和局部Z-半基[J].江西师范大学学报(自然科学版),2012,0(1):54-58. |
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| 作者姓名： | 万潇 杨金波 |
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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(10861007);全国优秀博士学位论文作者专项资金(2007B14);江西省自然科学基金(2009GZS0012);江西省教育厅基金(GJJ12178);江西师范大学研究生创新资金资助项目 |
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| 摘 要： | 作为半连续格上半基和局部半基在广义理想子集系统Z上的推广, 引入Z-半连续格的Z-半基及局部Z-半基概念, 讨论了它们的基本性质和Z-半连续格上Z-半Lawson拓扑的性质. 特别地, 借助于Z-半基与局部Z-半基给出了Z-半连续格的一些刻画.
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| 关 键 词： | 广义理想子系统 Z-半基 局部Z-半基 Z-半Lawson拓扑 |
The Z-Semibasis and Locally Z-Semibasis on Z-Semicontinuous Lattices |
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| WAN Xiao,YANG Jin-bo.The Z-Semibasis and Locally Z-Semibasis on Z-Semicontinuous Lattices[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,0(1):54-58. |
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| Authors: | WAN Xiao YANG Jin-bo |
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| Institution: | *(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | As a generalization of semibasis and locally semibasis on a semicontinuous lattice,Z-semibasis and lo-cally Z-semibasis on a Z-semicontinuous lattice are introduced for a generalized ideal subsets system Z.Some properties of Z-semibasis,locally Z-semibasis and Z-semi-Lawson topology on a Z-semicontinuous lattice are pre-sented.In particular,some characterizations of Z-semicontinuous lattices with the help of Z-semibasis are given. |
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| Keywords: | generalized ideal sub-systems Z-semibasis locally Z-semibasis Z-semi-Lawson topology |
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