Real closed exponential subfields of pseudo-exponential fields

Ahuva C. Shkop

doi:10.1215/00294527-2143925

Real closed exponential subfields of pseudo-exponential fields

Ahuva C. Shkop

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove that a pseudo-exponential field has continuum many nonisomorphic countable real closed exponential subfields, each with an order-preserving exponential map which is surjective onto the nonnegative elements. Indeed, this is true of any algebraically closed exponential field satisfying Schanuel's conjecture.

Original language	English
Pages (from-to)	591-601
Number of pages	11
Journal	Notre Dame Journal of Formal Logic
Volume	54
Issue number	3-4
DOIs	https://doi.org/10.1215/00294527-2143925
State	Published - 10 Oct 2013

Keywords

Exponential algebra
Pseudo-exponential
Real closed exponential fields
Schanuel's conjecture

ASJC Scopus subject areas

Logic

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10.1215/00294527-2143925

Cite this

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abstract = "In this paper, we prove that a pseudo-exponential field has continuum many nonisomorphic countable real closed exponential subfields, each with an order-preserving exponential map which is surjective onto the nonnegative elements. Indeed, this is true of any algebraically closed exponential field satisfying Schanuel's conjecture.",

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AB - In this paper, we prove that a pseudo-exponential field has continuum many nonisomorphic countable real closed exponential subfields, each with an order-preserving exponential map which is surjective onto the nonnegative elements. Indeed, this is true of any algebraically closed exponential field satisfying Schanuel's conjecture.

KW - Exponential algebra

KW - Pseudo-exponential

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KW - Schanuel's conjecture

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JO - Notre Dame Journal of Formal Logic

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Real closed exponential subfields of pseudo-exponential fields

Abstract

Keywords

ASJC Scopus subject areas

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