Two extension theorems. Modular functions on complemented lattices

Hans Weber

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Displaying similar documents to “Two extension theorems. Modular functions on complemented lattices”

Control and separating points of modular functions

Anna Avallone, Giuseppina Barbieri, Raffaella Cilia (1999)

Mathematica Slovaca

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An extension theorem for modular measures on effect algebras

Giuseppina Barbieri (2009)

Czechoslovak Mathematical Journal

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We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting.

Modular functions on multilattices

Anna Avallone (2002)

Czechoslovak Mathematical Journal

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We prove that every modular function on a multilattice $L$ with values in a topological Abelian group generates a uniformity on $L$ which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of $L$ .