| 由序滤子确定的滤子 |
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| 引用本文： | 秦亚,刘熠.由序滤子确定的滤子[J].内江师范学院学报,2010,25(4):9-11. |
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| 作者姓名： | 秦亚 刘熠 |
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| 作者单位： | 内江师范学院数学与信息科学学院//四川省高等学校数值仿真重点实验室,四川,内江,641100 |
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| 基金项目： | 四川省教育厅科研基金项目(08zb082) |
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| 摘 要： | 通过格蕴涵代数的序滤子，得到了格蕴涵代数的一类由该序滤子所确定的滤子．首先，研究了该类滤子的性质；其次，并得到了格蕴涵代数的序滤子做成滤子的充分必要条件；最后，研究该类滤子的结构．
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| 关 键 词： | 格蕴涵代数 滤子 序（格）滤子 |
Filters Determined by Order Filter |
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| QIN Ya,LIU Yi.Filters Determined by Order Filter[J].Journal of Neijiang Teachers College,2010,25(4):9-11. |
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| Authors: | QIN Ya LIU Yi |
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| Institution: | College of Mathematics and Information Science//Key Laboratory of Numerical Simulation of the Sichuan Province/a>;Neijiang Normal University/a>;Neijiang/a>;Sichuan 641100/a>;China |
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| Abstract: | By aid of the order filters in lattice implication algebras,filters determined by the order filters of it are obtained.Firstly,the properties of such filters are studied;Secondly,the necessary and sufficient condition under which the order filters of lattice implication algebras qualify as filters is obtained;Finally,the structure of such filter is determined. |
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| Keywords: | Lattice implication algebra filter order filter |
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