数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 106-110.

• • 上一篇    

On  Certain  Filters  in  Lattice  Implication  Algebras

  

  1. Department  of  Applied  Mathematics,Southwest  Jiaotong  Universit:y,Chengdu,610031


  • 收稿日期:1996-01-07 出版日期:1996-12-30 发布日期:2024-12-24
  • 基金资助:
    Supported by National Natural Science Foundation of China and Youth Science Foundation of Province of Sichuan.

On  Certain  Filters  in  Lattice  Implication  Algebras

  1. Department  of  Applied  Mathematics,Southwest  Jiaotong  Universit:y,Chengdu,610031
  • Received:1996-01-07 Online:1996-12-30 Published:2024-12-24
  • Supported by:
    Supported by National Natural Science Foundation of China and Youth Science Foundation of Province of Sichuan.

摘要: Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras.In this paper,we introduce the concept of I-feature filters and involutory filters in lattice implication algebras,and discussed some properties of them.Finally,the characterization of filters of any lattice implication algebra which satisfies.Increasing Chain Conditions (1.C.C) is given.

关键词:  , lattice ,  , irnplicaiion , algebra, filt , er:I-feature , filter, involutory , filter, I.C.C

Abstract: Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras.In this paper,we introduce the concept of I-feature filters and involutory filters in lattice implication algebras,and discussed some properties of them.Finally,the characterization of filters of any lattice implication algebra which satisfies.Increasing Chain Conditions (1.C.C) is given.

Key words:  , lattice ,  , irnplicaiion , algebra, filt , er:I-feature , filter, involutory , filter, I.C.C

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