Kyungpook Mathematical Journal

  • 제47권2호
  • /
  • Pages.227-237
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  • 2007
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Weak Distributive n-Semilattices and n-Lattices

  • Lim, Seon-Ju (Department of Mathematics & Statistics, Sookmyung Women's University)
  • 투고 : 2006.01.16
  • 발행 : 2007.06.23
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초록

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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참고문헌

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