A polynomial characterization of nondistributive modular lattices
Józef Dudek (1988)
Colloquium Mathematicae
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Józef Dudek (1988)
Colloquium Mathematicae
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Zuzana Morávková (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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...
L. Gerritzen, B. Brinkmann (1992)
Mathematische Annalen
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Serge Lang, Daniel S. Kubert (1978)
Mathematische Annalen
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V. A. Ponomarev (1990)
Banach Center Publications
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Gabriele Nebe (2004)
Journal de Théorie des Nombres de Bordeaux
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This article classifies the strongly modular lattices with longest and second longest possible shadow.
D. Choi (2006)
Acta Arithmetica
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