Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A transfer principle for simple properties of theories


Author: Mark E. Nadel
Journal: Proc. Amer. Math. Soc. 59 (1976), 353-357
MSC: Primary 02H10
DOI: https://doi.org/10.1090/S0002-9939-1976-0414350-2
MathSciNet review: 0414350
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A notion of simple property of theories is introduced and it is shown that if ${\text {P}}$ is a simple property of theories, $A$ countable admissible, and $M$ a structure in $A$, then ${\operatorname {Th} _A}(M)$ has property ${\text {P}}$ iff ${\operatorname {Th} _{\infty \omega }}(M)$ has property ${\text {P}}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 02H10

Retrieve articles in all journals with MSC: 02H10


Additional Information

Article copyright: © Copyright 1976 American Mathematical Society