| 关于剩余格的正则滤子 |
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| 引用本文： | 朱怡权,张秋瑾,唐续俞.关于剩余格的正则滤子[J].广州航海高等专科学校学报,2010,18(2):17-21. |
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| 作者姓名： | 朱怡权 张秋瑾 唐续俞 |
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| 作者单位： | 广州航海高等专科学校,基础部,广东,广州,510725 |
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| 基金项目： | 国家自然科学基金项目，广州航海高等专科学校人才引进专项基金项目 |
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| 摘 要： | 基于一般的剩余格,引进了正则滤子的概念,给出了正则滤子的一些特征刻画,并且建立了正则滤子与其它一些特殊滤子(G-滤子、MV-滤子、Boolean滤子)之间的内在联系.证明了一个剩余格为正则剩余格当且仅当它的每个MP滤子是正则滤子.
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| 关 键 词： | 剩余格 正则剩余格 MP滤子 正则滤子（R-滤子） |
On Regular Filters of Residuated Lattices |
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| Zhu Yi-quan,Zhang Qiu-jin,Tang Xu-yu.On Regular Filters of Residuated Lattices[J].Journal of Guangzhou Maritime College,2010,18(2):17-21. |
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| Authors: | Zhu Yi-quan Zhang Qiu-jin Tang Xu-yu |
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| Institution: | (Department of Basic Sciences,Guangzhou Maritime College,Guangzhou Guangdong 510725) |
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| Abstract: | In this paper,the concept of regular filters based on general residuated lattices is introduced,some characterizations of regular filters are derived,and the relations between regular filters and several other special filters（G-filters、MV-filters and Boolean filters） are established.Moreover,it is proved that a residuated lattice is regular if and only if its every MP filter is a regular filter. |
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| Keywords: | residuated lattice regular residuated lattice MP filter regular filter（R-filter） |
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