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Automorphisms of Saturated and Boundedly Saturated Models of Arithmetic
Notre Dame Journal of Formal Logic 52 (3):315-329 (2011)
Abstract
We discuss automorphisms of saturated models of PA and boundedly saturated models of PA. We show that Smoryński's Lemma and Kaye's Theorem are not only true for countable recursively saturated models of PA but also true for all boundedly saturated models of PA with slight modificationsLinks
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2011-07-29
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Citations of this work
Automorphism groups of saturated models of peano arithmetic.Ermek S. Nurkhaidarov & James H. Schmerl - 2014 - Journal of Symbolic Logic 79 (2):561-584.
Closed Normal Subgroups of the Automorphism Group of a Saturated Model of Peano Arithmetic.Ermek S. Nurkhaidarov & Erez Shochat - 2016 - Notre Dame Journal of Formal Logic 57 (1):127-139.
References found in this work
Models and types of Peano's arithmetic.Haim Gaifman - 1976 - Annals of Mathematical Logic 9 (3):223-306.
Automorphisms of recursively saturated models of arithmetic.Richard Kaye, Roman Kossak & Henryk Kotlarski - 1991 - Annals of Pure and Applied Logic 55 (1):67-99.
On maximal subgroups of the automorphism group of a countable recursively saturated model of PA.Roman Kossak, Henryk Kotlarski & James H. Schmerl - 1993 - Annals of Pure and Applied Logic 65 (2):125-148.
Saturated models of peano arithmetic.J. F. Pabion - 1982 - Journal of Symbolic Logic 47 (3):625-637.
Automorphism Groups of Arithmetically Saturated Models.Ermek S. Nurkhaidarov - 2006 - Journal of Symbolic Logic 71 (1):203 - 216.
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