Valuations on complemented lattices

DOI10.1007/BF00676294zbMath0843.06005OpenAlexW1983247918MaRDI QIDQ1907596

Hans Weber

Publication date: 15 August 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00676294

zbMATH Keywords

complete Boolean algebracomplemented latticebounded real-valued valuationsreal-valued totally additive measures

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Complemented lattices, orthocomplemented lattices and posets (06C15) Chain conditions, complete algebras (06E10)

Related Items

Unnamed Item, Modular functions on multilattices, Liapunov theorem for modular functions, Extension theorems (vector measures on quantum logics), Unnamed Item, Modular functions: uniform boundedness and compactness, Two extension theorems. Modular functions on complemented lattices

Cites Work

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• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• Uniform lattices. II: Order continuity and exhaustivity
• Lattice uniformities generated by filters
• On modular functions
• Lattice uniformities and modular functions on orthomodular lattices