Subdirect decomposition of distributive quasilattices

J. Kalman

Displaying similar documents to “Subdirect decomposition of distributive quasilattices”

Note on the distributive closure operators of a complete lattice

Morgado, José (1964)

Portugaliae mathematica

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Finite monogenic distributive systems

André Sesboüé (1996)

Czechoslovak Mathematical Journal

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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.

On distributive n-lattices and n-quasilattices

J. Płonka (1968)

Fundamenta Mathematicae

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On distributive trices

Kiyomitsu Horiuchi, Andreja Tepavčević (2001)

Discussiones Mathematicae - General Algebra and Applications

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A triple-semilattice is an algebra with three binary operations, which is a semilattice in respect of each of them. A trice is a triple-semilattice, satisfying so called roundabout absorption laws. In this paper we investigate distributive trices. We prove that the only subdirectly irreducible distributive trices are the trivial one and a two element one. We also discuss finitely generated free distributive trices and prove that a free distributive trice with two generators has 18 elements. ...

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.

Finitely generated congruence distributive quasivarieties of algebras

Wiesław Dziobiak (1989)

Fundamenta Mathematicae

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Distributive lattices with a given skeleton

Joanna Grygiel (2004)

Discussiones Mathematicae - General Algebra and Applications

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We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.