Prime extensions and categoricity in power

Victor Harnik; Jean Pierre Ressayre

doi:10.1007/BF02771568

Prime extensions and categoricity in power

Victor Harnik, Jean Pierre Ressayre

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the notion of prime extension defined by Morley. A connection is established between the categoricity of a theory in a cardinal greater than the power of its language and the existence of prime extensions. For such theories we prove a minimality property of the prime extensions and we conclude by a property of the group of automorphisms of their models.

Original language	English
Pages (from-to)	172-185
Number of pages	14
Journal	Israel Journal of Mathematics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/BF02771568
State	Published - Jun 1971
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02771568

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Prime extensions and categoricity in power

Abstract

ASJC Scopus subject areas

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