| 格蕴涵代数中的扩张滤子 |
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| 引用本文： | 朱华,陈树伟,赵建彬.格蕴涵代数中的扩张滤子[J].模糊系统与数学,2011,25(5):50-53. |
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| 作者姓名： | 朱华 陈树伟 赵建彬 |
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| 作者单位： | 郑州大学数学系,河南郑州,450001 |
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| 基金项目： | 国家自然科学基金资助项目(6087503410901143) |
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| 摘 要： | 在格蕴涵代数中提出了扩张滤子的概念,讨论了扩张滤子与滤子,扩张滤子与素滤子,扩张滤子与滤子的根,扩张滤子与准素滤子,扩张滤子与最大滤子之间的关系.得到了扩张滤子的一些性质.最后,证明了在格H蕴涵代数中,扩张滤子与扩张滤子的根相等.
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| 关 键 词： | 滤子 扩张滤子 滤子的根 格蕴涵代数 |
The Extended Filter in Lattice Implication Algebras |
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| ZHU Hua,CHEN Shu-wei,ZHAO Jian-bin.The Extended Filter in Lattice Implication Algebras[J].Fuzzy Systems and Mathematics,2011,25(5):50-53. |
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| Authors: | ZHU Hua CHEN Shu-wei ZHAO Jian-bin |
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| Institution: | ZHU Hua,CHEN Shu-wei,ZHAO Jian-bin(Department of Mathematics,Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | The notion of an extended filter in lattice implication algebras is proposed.The relations between an extended filter and a filter,between an extended filter and a prime filter,between an extended filter and a filter's radical,between an extended filter and a primary filter,between an extended filter and a maximal filter are discussed,respectively.The properties of an extended filter are obtained.Finally,an extended filter is proved to be an extended filter's radical in lattice H implication algebras. |
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| Keywords: | Filter Extended Filter Filter's Radical Lattice Implicative Algebra |
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