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  • 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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THE FILTERS OF THE ORDERED Γ-SEMIGROUPS

  • Kwon, Young-In
    • Theoretical Mathematics and Pedagogical Mathematics
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    • v.4 no.2
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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 Γ-semigroup M.

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