International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 11, Pages 695-699
doi:10.1155/S016117120100566X
On n-fold implicative filters of lattice implication algebras
Young Bae Jun
Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea
Abstract
We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n-fold implicative lattice implication algebras. Finally, we construct an extension property for n-fold implicative filter.