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  • 标题:A Note on Distributive Triples
  • 本地全文:下载
  • 作者:Marcin Łazarz
  • 期刊名称:Bulletin of the Section of Logic
  • 印刷版ISSN:0138-0680
  • 电子版ISSN:2449-836X
  • 出版年度:2019
  • 卷号:48
  • 期号:3
  • 页码:207-211
  • DOI:10.18778/0138-0680.48.3.04
  • 出版社:Lodz University Press
  • 摘要:Even if a lattice L is not distributive, it is still possible that for particular elements x, y, z ∈ L it holds ( x ∨ y ) ∧ z = ( x ∧ z ) ∨ ( y ∧ z ). If this is the case, we say that the triple ( x, y, z ) is distributive. In this note we provide some sufficient conditions for the distributivity of a given triple.
  • 其他摘要:Even if a lattice L is not distributive, it is still possible that for particular elements x, y, z ∈ L it holds (x∨y) ∧z = (x∧z) ∨ (y ∧z). If this is the case, we say that the triple (x, y, z) is distributive. In this note we provide some sufficient conditions for the distributivity of a given triple.
  • 关键词:Distributive triple; dually distributive triple; covering diamond.
  • 其他关键词:Distributive triple;dually distributive triple;covering diamond
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