TY - JOUR AU - Łazarz, Marcin PY - 2019/10/30 Y2 - 2024/03/29 TI - A Note on Distributive Triples JF - Bulletin of the Section of Logic JA - B Sect Log VL - 48 IS - 3 SE - Research Article DO - 10.18778/0138-0680.48.3.04 UR - https://czasopisma.uni.lodz.pl/bulletin/article/view/6206 SP - 207-211 AB - <p>Even if a lattice <em>L </em>is not distributive, it is still possible that for particular elements <em>x, y, z </em><em>∈ </em><em>L </em>it holds (<em>x</em><em>∨</em><em>y</em>) <em>∧</em><em>z</em> = (<em>x</em><em>∧</em><em>z</em>) <em>∨ </em>(<em>y </em><em>∧</em><em>z</em>). If this is the case, we say that the triple (<em>x, y, z</em>) is distributive. In this note we provide some sufficient conditions for the distributivity of a given triple.</p> ER -