The Schröder-Bernstein property for 𝑎-saturated models-Reference-Cited by-同舟云学术

The Schröder-Bernstein property for 𝑎-saturated models

Published:2013-12-10 Issue:3 Volume:142 Page:1013-1023
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Goodrick John,Laskowski Michael

Abstract

A first-order theory T T has the Schröder-Bernstein (SB) property if any pair of elementarily bi-embeddable models are isomorphic. We prove that T T has an expansion by constants with the SB property if and only if T T is superstable and non-multidimensional. We also prove that among superstable theories T T , the class of a a -saturated models of T T has the SB property if and only if T T has no nomadic types.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-03/S0002-9939-2013-11844-7/S0002-9939-2013-11844-7.pdf

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