Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Weak Distributive n-Semilattices and n-Lattices

  • Lim, Seon-Ju (Department of Mathematics & Statistics, Sookmyung Women's University)
  • Received : 2006.01.16
  • Published : 2007.06.23
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Abstract

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.

Keywords

References

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