• Title/Summary/Keyword: n-semilattice

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Weak Distributive n-Semilattices and n-Lattices

  • Lim, Seon-Ju
    • Kyungpook Mathematical Journal
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    • v.47 no.2
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    • pp.227-237
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    • 2007
  • We define weak distributive $n$-semilattices and $n$-lattices, using variants of the absorption law and those of the distributive law. From a weak distributive $n$-semilattice, we construct direct system of subalgebras which are weak distributive $n$-lattices and show that its direct limit is a reflection of the category $wDn$-SLatt of the weak distributive $n$-semilattices.

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