Idempotents in Quasi-lattices
Commun. Korean Math. Soc. 1998 Vol. 13, No. 4, 751-757
Young Hee Hong
Sookmyung Women's University
Abstract : Using idempotents in quasi-lattices, we show that the category {\bf Latt} of lattices is both reflective and coreflective in the category {\bf 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.
Keywords : quasi-lattices, idempotents, reflection, coreflection
MSC numbers : 06A06, 06B99, 18A40, 18C05
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