IDEMPOTENTS IN QUASI-LATTICES

  • Hong, Young-Hee (Department of Mathematics Sookmyung Women′s University)
  • Published : 1998.10.01

Abstract

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.