On the model companion of partial differential fields with an automorphism

Omar Sanchez

doi:10.1007/s11856-016-1292-y

On the model companion of partial differential fields with an automorphism

Omar Sanchez

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

177 Downloads (Pure)

Abstract

We prove that the class of partial differential fields of characteristic zero with an automorphism has a model companion. We then establish the basic model theoretic properties of this theory and prove that it satisfies the canonical base property, and consequently the Zilber dichotomy, for finite-dimensional types.

Original language	English
Pages (from-to)	419–442
Journal	Israel Journal of Mathematics
Volume	212
Issue number	1
Early online date	7 Jan 2016
DOIs	https://doi.org/10.1007/s11856-016-1292-y
Publication status	Published - May 2016

Access to Document

10.1007/s11856-016-1292-y

Differential-difference fieldsAccepted author manuscript, 299 KB

Cite this

@article{6a9eb447e8d64797afc939ea29655a78,

title = "On the model companion of partial differential fields with an automorphism",

abstract = "We prove that the class of partial differential fields of characteristic zero with an automorphism has a model companion. We then establish the basic model theoretic properties of this theory and prove that it satisfies the canonical base property, and consequently the Zilber dichotomy, for finite-dimensional types.",

author = "Omar Sanchez",

year = "2016",

month = may,

doi = "10.1007/s11856-016-1292-y",

language = "English",

volume = "212",

pages = "419–442",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - On the model companion of partial differential fields with an automorphism

AU - Sanchez, Omar

PY - 2016/5

Y1 - 2016/5

N2 - We prove that the class of partial differential fields of characteristic zero with an automorphism has a model companion. We then establish the basic model theoretic properties of this theory and prove that it satisfies the canonical base property, and consequently the Zilber dichotomy, for finite-dimensional types.

AB - We prove that the class of partial differential fields of characteristic zero with an automorphism has a model companion. We then establish the basic model theoretic properties of this theory and prove that it satisfies the canonical base property, and consequently the Zilber dichotomy, for finite-dimensional types.

UR - https://www.scopus.com/pages/publications/84953401498

U2 - 10.1007/s11856-016-1292-y

DO - 10.1007/s11856-016-1292-y

M3 - Article

SN - 0021-2172

VL - 212

SP - 419

EP - 442

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

On the model companion of partial differential fields with an automorphism

Abstract

Access to Document

Other files and links

Fingerprint

Cite this