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Saturated models in institutions - MaRDI portal

Saturated models in institutions (Q992038)

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scientific article; zbMATH DE number 5781209
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Saturated models in institutions
scientific article; zbMATH DE number 5781209

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    Saturated models in institutions (English)
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    8 September 2010
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    In this paper the authors define the concept of saturated model at an abstract institution-independent level and develop the fundamental existence and uniqueness theorems. As an application they prove a general institution-independent version of the Keisler-Shelah isomorphism theorem, ``any two elementarily equivalent models have isomorphic ultrapowers'' (assuming the Generalized Continuum Hypothesis).
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    saturated models
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    institutions
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    institution-independent model theory
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