A Note on Distributive Triples

Marcin Łazarz

doi:10.18778/0138-0680.48.3.04

Authors

Marcin Łazarz University of Wrocław, Poland, Department of Logic and Methodology of Sciences Author

DOI:

https://doi.org/10.18778/0138-0680.48.3.04

Keywords:

Distributive triple, dually distributive triple, covering diamond

Abstract

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.

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