Higher degrees of distributivity in lattices and lattice-ordered groups
Ján Jakubík (1968)
Czechoslovak Mathematical Journal
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Ján Jakubík (1968)
Czechoslovak Mathematical Journal
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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.
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.
Josef Niederle (2005)
Mathematica Slovaca
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