International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 15, Article ID 21835, 20 pages
doi:10.1155/IJMMS/2006/21835

Simple and subdirectly irreducibles bounded distributive lattices with unary operators

Abstract

We characterize the simple and subdirectly irreducible distributive algebras in some varieties of distributive lattices with unary operators, including topological and monadic positive modal algebras. Finally, for some varieties of Heyting algebras with operators we apply these results to determine the simple and subdirectly irreducible algebras.