| 关于剩余格中滤子的格结构 |
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| 引用本文： | 张晓华,沈建国. 关于剩余格中滤子的格结构[J]. 数学季刊, 2009, 24(2): 252-257 |
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| 作者姓名： | 张晓华 沈建国 |
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| 作者单位： | |
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| 摘 要： |
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| 关 键 词： | 晶格结构 剩余格 过滤器 滤波器 分配格 |
On Lattice Structure of Filters in Residuated Lattices |
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| ZHANG Xiao-hua SHEN Jian-guo. On Lattice Structure of Filters in Residuated Lattices[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 252-257 |
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| Authors: | ZHANG Xiao-hua SHEN Jian-guo |
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| Affiliation: | [1]Department of Mathematics, Hebi Vocational Technical College, Hebi 458030, China [2]College of Education, Nanyang Institute of Technology, Nanyang 473061, China |
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| Abstract: | This paper is devoted to the discussion of filters in residuated lattices. The lattice structure of filters in residuated lattice was established. It is proved that the set of all filters forms a distributive lattice. Also, the concept of prime filter in residuated lattice was proposed and some equivalent conditions about prime filter were given. |
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| Keywords: | residuated lattice MTL-algebra filter prime filter |
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