| 正交模格诱导的子空间与子模格 |
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| 引用本文： | 马锐,陈引兰. 正交模格诱导的子空间与子模格[J]. 昆明理工大学学报(自然科学版), 2006, 31(6): 118-121 |
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| 作者姓名： | 马锐 陈引兰 |
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| 作者单位： | 云南财贸学院,计算机科学系,云南,昆明,650221;云南师范大学,数学学院,云南,昆明,650092;湖北师范学院,数学系,湖北,黄石,435002 |
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| 摘 要： | 引入了标准正交模格及正交模格的理想完备性的概念,证明了一类正交模格的滤子之集在某种拓扑之下构成一个Boolean空间.另外,从元素的成分出发,证明了正交模格中一元素的成分之集构成一个子模格.
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| 关 键 词： | 正交模格 理想 超滤子 成分 |
| 文章编号： | 1007-855(2006)05-0118-04 |
| 收稿时间： | 2005-09-15 |
| 修稿时间： | 2005-09-15 |
Subspace and Suborthomodular Lattice lnduced by Orthomodular Lattice |
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| MA Rui,CHEN Yin-lan. Subspace and Suborthomodular Lattice lnduced by Orthomodular Lattice[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2006, 31(6): 118-121 |
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| Authors: | MA Rui CHEN Yin-lan |
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| Affiliation: | 1. Department of Computer Science,Yunnan University of Finance and Economics,Kunming 6.50221 ,China; 2. Department of Mathematics,Yunnan Normal University, Kunming 650092, China; 3. Department of Mathematics, Hubei Normal University,Huangshi, Hubei 435002,China |
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| Abstract: | The concepts of standard orthomodular lattice and ideal completeness of orthomodular lattices are introduced.It is proved that the set of filters of the orthomodular lattices forms a Boolean space under the structure of certain topolopy,and the set of components of any element forms a suborthomodular lattice. |
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| Keywords: | orthomodular lattice ideal ultrafilter components |
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