Valuations and distance functions on directed multilattices

Judita Lihová

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Displaying similar documents to “Valuations and distance functions on directed multilattices”

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 multilattices with isomorphic graphs

Mária Tomková (1982)

Mathematica Slovaca

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On projective intervals in a modular lattice

Ján Jakubík (1992)

Mathematica Bohemica

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In this paper a combinatorial result concerning paire of projective intervals of a modular lattice will be established.