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剩余格中的滤子
引用本文:沈建国,张晓华. 剩余格中的滤子[J]. 数学季刊, 2006, 21(3): 443-447
作者姓名:沈建国  张晓华
作者单位:College of Education,Nanyang Institute of Technology,Nanyang 473061,China; Hebi Vocational Technical College,Hebi 458030,China
摘    要:
This paper is devoted to the discussion of filters in residuated lattices. Some equivalent conditions about filter were given. The structure of generated filter was established. The concept of implicative filter in residuated lattice was proposed with its basic properties being discussed.

关 键 词:滤波器  基础性  晶格  公式估计

On Filters of Residuated Lattice
SHEN Jian-guo,ZHANG Xiao-hua. On Filters of Residuated Lattice[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 443-447
Authors:SHEN Jian-guo  ZHANG Xiao-hua
Affiliation:[1]College of Education, Nanyang Institute of Technology, Nanyang 473061, China [2]Hebi Vocational Technical College, Hebi 458030, China
Abstract:
This paper is devoted to the discussion of filters in residuated lattices. Some equivalent conditions about filter were given. The structure of generated filter was established. The concept of implicative filter in residuated lattice was proposed with its basic properties being discussed.
Keywords:residuated lattice  filter  generated filter  implicative filter
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