IDEMPOTENTS IN QUASI-LATTICES
Young-Hee Hong · Communications of the Korean Mathematical Society · 1998
Using idempotents in quasi-lattices, we show that the category Latt of lattices is both reflective and coreflective in the category qLatt of quasi-lattices and homomorphisms. It is also shown that a quasi-ordered set is a quasi-lattice iff its partially ordered reflection is a lattice.