A note on relative complements in lattices
Zuzana Morávková (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Zuzana Morávková (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Anna Avallone, Giuseppina Barbieri, Raffaella Cilia (1999)
Mathematica Slovaca
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Hans Weber (2002)
Czechoslovak Mathematical Journal
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We prove an extension theorem for modular functions on arbitrary lattices and an extension theorem for measures on orthomodular lattices. The first is used to obtain a representation of modular vector-valued functions defined on complemented lattices by measures on Boolean algebras. With the aid of this representation theorem we transfer control measure theorems, Vitali-Hahn-Saks and Nikodým theorems and the Liapunoff theorem about the range of measures to the setting of modular functions...
H. H. Herda (1967)
Colloquium Mathematicae
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