International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 4, Pages 277-281
doi:10.1155/S0161171200003926
Fantastic filters of lattice implication algebras
Young Bae Jun
Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea
Abstract
The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.