Folding theory of implicative/fantastic filters in lattice implication algebras
Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 11-21
Printed March 1, 2004
Young Bae Jun, Seok Zun Song
Gyeongsang National University, Cheju National University
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/fantas-tic filters are given. Conditions for a filter to be $n$-fold implicative are provided. Extension property for an $n$-fold fantastic filter is established.
Keywords : lattice implication algebra, ($n$-fold) implicative/fantastic filter
MSC numbers : 03G10, 03B05, 03B50, 06B10
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