Chinese Quarterly Journal of Mathematics ›› 1996, Vol. 11 ›› Issue (4): 106-110.

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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.

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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