数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 443-447.

• • 上一篇    下一篇

剩余格中的滤子

  

  1.  College of Education, Nanyang Institute of Technology, Nanyang 473061, China; Hebi Vocational Technical College, Hebi 458030, China
  • 收稿日期:2005-12-24 出版日期:2006-09-30 发布日期:2023-11-29
  • 作者简介:SHEN Jian-guo(1959-),male,native of Nanyang,Henan,an associate Nanyang Institute of Technology,M.S.D.,engages in non-classical logic algebras.

On Filters of Residuated Lattice

  1.  College of Education, Nanyang Institute of Technology, Nanyang 473061, China; Hebi Vocational Technical College, Hebi 458030, China
  • Received:2005-12-24 Online:2006-09-30 Published:2023-11-29
  • About author:SHEN Jian-guo(1959-),male,native of Nanyang,Henan,an associate Nanyang Institute of Technology,M.S.D.,engages in non-classical logic algebras.

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: residuated lattice, filter, generated filter, implicative filter

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.

Key words: residuated lattice, filter, generated filter, implicative filter

中图分类号: