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Classification Theory for Abstract Elementary Classes

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Classification Theory for Abstract Elementary Classes - Shelah, Saharon
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An abstract elementary class is a class of structures of the same vocabulary (like a class of rings, or a class of fields), with a partial order that generalizes the relation "A is a substructure (or an elementary substructure) of B". The requirements are that the class is closed under isomorphism, and that isomorphic structures have isomorphic (generalized) substructures; we also require that our classes share some of the most basic properties of elementary classes, like closure under unions of increasing chains of ...

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Classification Theory for Abstract Elementary Classes 2009, College Publications

ISBN-13: 9781904987710

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