| 格蕴涵代数的布尔滤子 |
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| 引用本文： | 吴明慧,徐扬.格蕴涵代数的布尔滤子[J].毕节学院学报,2011,29(4):1-5. |
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| 作者姓名： | 吴明慧 徐扬 |
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| 作者单位： | 西南交通大学数学学院; |
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| 基金项目： | 国家自然科学基金资助项目,项目编号:60875034 |
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| 摘 要： | 提出布尔滤子的概念,研究它的一些基本性质,得到由布尔滤子所诱导的商代数是布尔代数的结论,同时给出了判定布尔滤子的等价条件,得到格蕴涵代数中布尔滤子与关联滤子一致的结论。
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| 关 键 词： | 滤子 布尔滤子 关联滤子 格蕴涵代数 |
Boolean Filters of Lattice Implication Algebras |
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| WU Ming-hui,XU Yang.Boolean Filters of Lattice Implication Algebras[J].Journal of Bijie University,2011,29(4):1-5. |
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| Authors: | WU Ming-hui XU Yang |
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| Institution: | WU Ming-hui,XU Yang(Department of Applied Mathematics,Southwest Jiaotong University,Chengdu,Sichuan 610031,China) |
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| Abstract: | The concept of Boolean filters is proposed and its basic properties are discussed,and an important conclusion on the quotient algebras induced by Boolean filters which are Boolean algebras is given.Then most of studies on the necessary and sufficient conditions for Boolean filters are made.Besides,the equivalence relation between the implicative filters and Boolean filters is get. |
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| Keywords: | Filter Boolean Filter Implicative Filter Lattice Implication Algebra |
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