Lattice uniformities and modular functions on orthomodular lattices

DOI10.1007/BF01111744zbMath0834.06013OpenAlexW1998356027MaRDI QIDQ1904387

Hans Weber

Publication date: 1 February 1996

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01111744

zbMATH Keywords

decompositionorthomodular latticecomplete Boolean algebraquotient completioncentreexhaustive modular functionslattice of exhaustive uniformities

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Ordered topological structures (06F30)

Related Items (14)

Unnamed Item ⋮ Modular functions on multilattices ⋮ Extension of modular functions and measures ⋮ Lattice uniformities generated by filters ⋮ Liapunov theorem for modular functions ⋮ Valuations on complemented lattices ⋮ Decomposition of measures and modular functions ⋮ Lattice uniformities on pseudo-D-lattices ⋮ On lattices of uniformities ⋮ Unnamed Item ⋮ Yosida-Hewitt and Lebesgue decompositions of states on orthomodular posets ⋮ Lattice uniformities on effect algebras ⋮ Modular functions: uniform boundedness and compactness ⋮ Boolean algebras of lattice uniformities and decompositions of modular functions

Cites Work

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• Unabhaengige Topologien, Zerlegung von Ringtopologien
• Topological Boolean rings. Decomposition of finitely additive set functions
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• A Topology on Quantum Logics
• The Lebesgue Decomposition for Group-Valued Set Functions
• Decompositions of set functions

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