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

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

Access to Document

10.1215/00294527-2143925

Cite this

@article{664e6ca17fd44f3eacb9056b6693f1e3,

title = "Real closed exponential subfields of pseudo-exponential fields",

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.",

keywords = "Exponential algebra, Pseudo-exponential, Real closed exponential fields, Schanuel's conjecture",

author = "Shkop, \{Ahuva C.\}",

year = "2013",

month = oct,

day = "10",

doi = "10.1215/00294527-2143925",

language = "English",

volume = "54",

pages = "591--601",

journal = "Notre Dame Journal of Formal Logic",

issn = "0029-4527",

publisher = "Duke University Press",

number = "3-4",

}

TY - JOUR

T1 - Real closed exponential subfields of pseudo-exponential fields

AU - Shkop, Ahuva C.

PY - 2013/10/10

Y1 - 2013/10/10

N2 - 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.

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

KW - Real closed exponential fields

KW - Schanuel's conjecture

UR - https://www.scopus.com/pages/publications/84885026134

U2 - 10.1215/00294527-2143925

DO - 10.1215/00294527-2143925

M3 - Article

AN - SCOPUS:84885026134

SN - 0029-4527

VL - 54

SP - 591

EP - 601

JO - Notre Dame Journal of Formal Logic

JF - Notre Dame Journal of Formal Logic

IS - 3-4

ER -

Real closed exponential subfields of pseudo-exponential fields

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this