Accession Number:

AD0683294

Title:

STRUCTURES ELEMENTARILY CLOSED RELATIVE TO THE NATURAL NUMBERS.

Descriptive Note:

Technical rept.,

Corporate Author:

IOWA UNIV IOWA CITY DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1968-12-01

Pagination or Media Count:

11.0

Abstract:

The paper discusses certain model theoretic properties of computable structures or arithmetically definable structures. In particular, it is shown that every arithmetically definable ordered subfield of real numbers is elementarily-closed relative to the natural numbers. Among the examples of fields which are not elementarily closed, we give an example of a subfield of complex numbers. It is shown that not every arithmetically definable field is elementarily closed. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE