Boolean algebras of lattice uniformities and decompositions of modular functions
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Publication:1042611
DOI10.1007/s11587-009-0043-3zbMath1182.06008OpenAlexW1999575360MaRDI QIDQ1042611
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
modular functionsBoolean algebrasdecompositionscomplemented lattices\(D\)-latticeslattice uniformities
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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