Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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IDEMPOTENTS IN QUASI-LATTICES

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

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