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Quotient Fields of a Model of IΔ0 + Ω1.
- Source :
- Mathematical Logic Quarterly; Aug2001, Vol. 47 Issue 3, p305-314, 10p
- Publication Year :
- 2001
-
Abstract
- In [4] the authors studied the residue field of a model M of IΔ<subscript>0</subscript> + Ω<subscript>1</subscript> for the principal ideal generated by a prime p. One of the main results is that M/ has a unique extension of each finite degree. In this paper we are interested in understanding the structure of any quotient field of M, i.e. we will study the quotient M/I for I a maximal ideal of M. We prove that any quotient field of M satisfies the property of having a unique extension of each finite degree. We will use some of Cherlin's ideas from [3], where he studies the ideal theory of non standard algebraic integers. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09425616
- Volume :
- 47
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Mathematical Logic Quarterly
- Publication Type :
- Academic Journal
- Accession number :
- 13585417
- Full Text :
- https://doi.org/10.1002/1521-3870(200108)47:3<305::AID-MALQ305>3.0.CO;2-4