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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J.W. Lea (1980)
Semigroup forum
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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.
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...
Christian Herrmann (1983)
Mathematische Annalen
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Bordalo, G.H., Rodrigues, E. (1998)
Portugaliae Mathematica
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