On topological MV-algebras and topological \(\ell \)-groups

DOI10.1016/j.topol.2012.08.004zbMath1269.54032OpenAlexW2039065631MaRDI QIDQ714741

Hans Weber

Publication date: 11 October 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.08.004

zbMATH Keywords

measureslocally solid \(\ell\)-groupstopological MV-algebras

Mathematics Subject Classification ID

MV-algebras (06D35) Other topological algebraic systems and their representations (22A30) Connections of general topology with other structures, applications (54H99) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (8)

Compactness of order intervals in a locally solid linear lattice ⋮ On weak convex MV-algebras ⋮ Interval convexity of scale effect algebras ⋮ Categorical properties of compact Hausdorff MV-algebras ⋮ Decomposition of measures and modular functions ⋮ Filter topologies and topological MV-algebras ⋮ Topological characterization of filter topological MV-algebras ⋮ Some weaker versions of topological residuated lattices

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• First Alexandroff decomposition theorem for topological lattice group valued measures
• Decomposition of ℓ-group-valued measures
• On the Alexandroff decomposition theorem
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