## Notre Dame Journal of Formal Logic

### Automorphisms of Saturated and Boundedly Saturated Models of Arithmetic

#### 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 modifications.

#### Article information

Source
Notre Dame J. Formal Logic, Volume 52, Number 3 (2011), 315-329.

Dates
First available in Project Euclid: 28 July 2011

https://projecteuclid.org/euclid.ndjfl/1311875777

Digital Object Identifier
doi:10.1215/00294527-1435483

Mathematical Reviews number (MathSciNet)
MR2822492

Zentralblatt MATH identifier
1241.03046

Subjects

#### Citation

Nurkhaidarov, Ermek S.; Shochat, Erez. Automorphisms of Saturated and Boundedly Saturated Models of Arithmetic. Notre Dame J. Formal Logic 52 (2011), no. 3, 315--329. doi:10.1215/00294527-1435483. https://projecteuclid.org/euclid.ndjfl/1311875777

#### References

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