On types of lattices

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Displaying similar documents to “On types of lattices”

Reciprocity in matroid lattices

David Sachs (1966)

Rendiconti del Seminario Matematico della Università di Padova

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On the modular relation in atomistic lattices

M. Janowitz (1970)

Fundamenta Mathematicae

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Valuations on modular lattices

Ján Jakubík (1991)

Mathematica Bohemica

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It is well-known that there exist infinite modular lattices possessing no non-trivial valuations. In this paper a class $𝒦$ of modular lattices is defined and it is proved that each lattice belonging to $𝒦$ has a nontrivial valuation. Next, a result of $G$ . Birkhoff concerning valuations on modular lattices of finite length is generalized.

On the De Morgan formulae and the antitony of complements in lattices

G. Szász (1978)

Czechoslovak Mathematical Journal

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Complements in modular and semimodular lattices.

Bordalo, G.H., Rodrigues, E. (1998)

Portugaliae Mathematica

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