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Folding theory of implicative/fantastic filters in lattice implication algebras

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Abstract

We discuss the n-fold implicative/fantastic filters inlattice implication algebras, which are extended notions ofimplicative/fantastic filters. Characterizations of n-foldimplicative/fantas-tic filters are given. Conditions for a filterto be n-fold implicative are provided. Extension property foran n-fold fantastic filter is established.

참고문헌 (5)

  1. "Implicative filters of li algebras", 34(2), pp.193~198 (1997)
  2. "Fantastic filters of li algebras", 24(4), pp.277~281 (2000)
  3. "On n-fold implicative filters of li algebras", 26(11), pp.695~699 (2001)
  4. "Positive implicative and associative filters of li algebras", 35(1), pp.53~61 (1998)
  5. "On filters of li algebras", pp.251~ (1993)

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