• 제목/요약/키워드: n-semilattice

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Weak Distributive n-Semilattices and n-Lattices

  • Lim, Seon-Ju
    • Kyungpook Mathematical Journal
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    • 제47권2호
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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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THE FILTERS OF THE ORDERED $\Gamma$-SEMIGROUPS

  • Kwon, Young-In
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제4권2호
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    • pp.131-135
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    • 1997
  • We give the relation between the semilattice congruence N and the set of prime ideals of the ordered $\Gamma$-semigroup M.

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