On isomorphisms of graphs of lattices

Ján Jakubík

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Displaying similar documents to “On isomorphisms of graphs of lattices”

Graph isomorphisms of partially ordered sets

Mária Tomková (1987)

Mathematica Slovaca

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Lines in directed distributive multilattices

Oľga Klaučová (1977)

Mathematica Slovaca

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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.