Extension of modular functions and measures

DOI10.1007/s10231-017-0703-yzbMath1393.28014OpenAlexW2760975729MaRDI QIDQ1647871

Hans Weber

Publication date: 27 June 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-017-0703-y

zbMATH Keywords

measureorthomodular latticeextensionmodular functionlattice uniformity\(D\)-latticemodular complemented lattice

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Miscellaneous topics in measure theory (28E99) Topological lattices (06B30) Group- or semigroup-valued set functions, measures and integrals (28B10)

Cites Work

• Group-valued modular functions
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• Uniform lattices. II: Order continuity and exhaustivity
• On modular functions
• On a Marinacci uniqueness theorem for measures.
• Lattice uniformities and modular functions on orthomodular lattices
• Extension of measures on pseudo-D-lattices
• Extension of a valuation on a lattice
• Outer Measures with Values in a Topological Group
• Strongly additive functions on lattices
• Pseudoeffect algebras. I: Basic properties
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