International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 11, Pages 695-699
On -fold implicative filters of lattice implication algebras
Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea
Received 7 August 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.
We introduce the notion of -fold implicative filters and -fold implicative lattice implication algebras. We give characterizations of -fold implicative filters and -fold implicative lattice implication algebras. Finally, we construct an extension property for -fold implicative filter.