International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 2, Pages 115-118
doi:10.1155/S0161171201004847

The prime filter theorem of lattice implication algebras

Young Bae Jun

Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, South Korea

Abstract

Using a special set x1F, we give an equivalent condition for a filter to be prime, and applying this result, we provide the prime filter theorem in lattice implication algebras