A Note on Distributive Triples

Authors

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

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 (xy) z = (xz) (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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Published

2019-10-30

How to Cite

Łazarz, M. (2019). A Note on Distributive Triples. Bulletin of the Section of Logic, 48(3), 207–211. https://doi.org/10.18778/0138-0680.48.3.04

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Section

Research Article