Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FOLDING THEORY OF IMPLICATIVE/FANTASTIC FILTERS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics Education Cheju National University)
  • Published : 2004.01.01
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Abstract

We discuss the n-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of n-fold implicative/fantastic filters are given. Conditions for a filter to be n-fold implicative are provided. Extension property for an n-fold fantastic filter is established.

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References

  1. Bull. Korean Math. Soc. v.34 no.2 Implicative flters of lattice implication algebras Y.B.Jun
  2. Int. J. Math. Sci. v.24 no.4 Fantastic flters of lattice implication algebras Y.B.Jun https://doi.org/10.1155/S0161171200003926
  3. Int. J. Math. Math. Sci. v.26 no.11 On n-fold implicative flters of lattice implication algebras Y.B.Jun https://doi.org/10.1155/S016117120100566X
  4. Bull. Korean Math. Soc. v.35 no.1 Positive implicative and associative flters of lattice implication algebras Y.B.Jun;Y.Xu;K.Y.Qin
  5. J. Southwest Jiaotong Univ. v.1 Lattice implication algebras Y.Xu
  6. J. Hebei Mining and Civil Engineering Institute v.2 Lattice H-implication algebras and lattice implication algebra classes Y.Xu;K.Y.Qin
  7. J. Fuzzy Math. v.1 no.2 On flters of lattice implication algebras Y.Xu;K.Y.Qin

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  1. On filter theory of residuated lattices vol.180, pp.19, 2010, https://doi.org/10.1016/j.ins.2010.05.034
  2. Fuzzy t-filters and their properties vol.247, 2014, https://doi.org/10.1016/j.fss.2013.11.002