Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 44, Issue 2 (1979), 215-220.
On Uniqueness of Prime Models
We prove there are theories (stable or countable) for which over every $A$ there is a prime model but it is not necessarily unique. We also give a simplified proof of the uniqueness theorem for countable stable theories.
J. Symbolic Logic, Volume 44, Issue 2 (1979), 215-220.
First available in Project Euclid: 6 July 2007
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Shelah, Saharon. On Uniqueness of Prime Models. J. Symbolic Logic 44 (1979), no. 2, 215--220. https://projecteuclid.org/euclid.jsl/1183740388