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Displaying similar documents to “Finite monogenic distributive systems”

A Note on Distributive Triples

Marcin Łazarz (2019)

Bulletin of the Section of Logic

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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.

Characterizations of 0-distributive posets

Vinayak V. Joshi, B. N. Waphare (2005)

Mathematica Bohemica

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The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.