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On Lattice Structure of Filters in Residuated Lattices

On Lattice Structure of Filters in Residuated Lattices
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摘要 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.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第2期252-257,共6页 数学季刊(英文版)
关键词 residuated lattice MTL-algebra FILTER prime filter 晶格结构 剩余格 过滤器 滤波器 分配格
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参考文献11

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