The number of families of solutions of decomposable form equations
J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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Roland Auer (2000)
Acta Arithmetica
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Saharon Shelah, Oren Kolman (1996)
Fundamenta Mathematicae
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We assume a theory T in the logic is categorical in a cardinal λ κ, and κ is a measurable cardinal. We prove that the class of models of T of cardinality < λ (but ≥ |T|+κ) has the amalgamation property; this is a step toward understanding the character of such classes of models.
Manfred Lochter (1994)
Acta Arithmetica
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Andrzej Rosłanowski, Saharon Shelah (1998)
Fundamenta Mathematicae
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We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.
Paul Erdős, Melvyn B. Nathanson, Prasad Tetali (1995)
Acta Arithmetica
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A. Perelli, J. Pomykała (1997)
Acta Arithmetica
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