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
Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, South Korea
Received 23 March 2000
Copyright © 2001 Young Bae Jun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Using a special set x−1F, 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