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Subjects
06-XX Order, lattices, ordered algebraic structures
06Cxx Modular lattices, complemented lattices
06C05 Modular lattices, Desarguesian lattices

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Displaying 1 – 4 of 4

Valuation et semi-modularité dans les demi-treillis

G. Comyn, J. Cl. Van Dorpe (1977)

Mathématiques et Sciences Humaines

Valuations on modular lattices

Ján Jakubík (1991)

Mathematica Bohemica

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.

Varieties of modular p-algebras

Tibor Katriňák (1974)

Colloquium Mathematicae

Verallgemeinerung eines Satzes von Kulikov II

R. FRITZSCHE, G. RICHTER (1974)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Currently displaying 1 – 4 of 4

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