Group-valued modular functions

DOI10.1007/BF02483932zbMath0458.06004OpenAlexW2052043016MaRDI QIDQ1151411

Tim Traynor, Isidore Fleischer

Publication date: 1982

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02483932

zbMATH Keywords

congruenceorder intervalsdistributive functionsgroup-valued modular functionslattices of finite height

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Structure and representation theory of distributive lattices (06D05) Structure theory of lattices (06B05) Modular lattices, Desarguesian lattices (06C05)

Related Items (17)

Unnamed Item ⋮ Modular functions on multilattices ⋮ Extension of modular functions and measures ⋮ Decompositions of supermodular functions and \(\square\)-decomposable measures ⋮ Pseudo-D-lattices and separating points of measures ⋮ On a Marinacci uniqueness theorem for measures. ⋮ Decomposition of measures and modular functions ⋮ Modular \(\mathrm{d}_0 \)-algebras ⋮ Openness of measures and closedness of their range ⋮ A representation theorem and a Lyapunov theorem for \(T_S\)-measures: The solution of two problems of Butnariu and Klement ⋮ Lattice uniformities on pseudo-D-lattices ⋮ Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lattice uniformities on effect algebras ⋮ Modular functions: uniform boundedness and compactness ⋮ Two extension theorems. Modular functions on complemented lattices

Cites Work

• Unnamed Item
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• Valuations on distributive lattices. I, II, III
• Sulla distributività delle strutture che posseggono una valutazione distributiva
• On a Lattice with a Valuation

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