Conservative extensions of models of arithmetic

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1980 Germany, United States English Publisher:Springer Science and Business Media LLCJournal:Archiv für Mathematische Logik und Grundlagenforschung, volume 20, pages 85-94 (issn: 0933-5846, eissn: 1432-0665,

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Authors: Blass, Andreas;

doi: 10.1007/bf02021128

handle: 2027.42/46061

Conservative extensions of models of arithmetic

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Abstract

We give two characterizations of conservative extensions of models of arithmetic, in terms of the existence and uniqueness of certain amalgamations with other models. We also establish a connection between conservativity and some combinatorial properties of ultrafilter mappings.

Countries

Germany, United States

Related Organizations

University of Michigan–Flint
United States
DigiZeitschriften
Germany
University of Michigan
United States
University of Michigan–Ann Arbor
United States

Keywords

Nonstandard models of arithmetic, Science, Article, 510.mathematics, Algebra, combinatorial properties of ultrafilter mappings, amalgamations, General, Mathematics, Mathematical Logic and Foundations

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