Boolean algebras of lattice uniformities and decompositions of modular functions

DOI10.1007/s11587-009-0043-3zbMath1182.06008OpenAlexW1999575360MaRDI QIDQ1042611

Hans Weber

Publication date: 14 December 2009

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-009-0043-3

zbMATH Keywords

modular functionsBoolean algebrasdecompositionscomplemented lattices\(D\)-latticeslattice uniformities

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Miscellaneous topics in measure theory (28E99) Ordered topological structures (06F30) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (5)

Maximal pairwise complementary families of quasi-uniformities. II. ⋮ Maximal pairwise complementary families of quasi-uniformities ⋮ Decomposition of measures and modular functions ⋮ Filter convergence and decompositions for vector lattice-valued measures ⋮ Permutable pairs of quasi-uniformities

Cites Work

• Topological Boolean rings. Decomposition of finitely additive set functions
• Monotonely Cauchy locally-solid topologies
• 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
• Congruences and ideals of effect algebras
• Complemented uniform lattices
• Uniformities of Fréchet-Nikodým type on Vitali spaces
• Lattice uniformities and modular functions on orthomodular lattices
• On lattices of uniformities
• Lattice uniformities on effect algebras
• The Lebesgue Decomposition for Group-Valued Set Functions
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