Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/an-analytic-zariski-structure-over-a-field-PszMav6iod
References (7)
-
K. Holland (1999)
Model completeness of the new strongly minimal setsJournal of Symbolic Logic, 64
-
E. Hrushovski (1993)
A New Strongly Minimal SetAnn. Pure Appl. Log., 62
-
J. Oxley (1991)
Matroid Theory. Oxford Science Publications -
Nicholas Peatfield, B. Zilber (2005)
Analytic Zariski structures and the Hrushovski constructionAnn. Pure Appl. Log., 132
-
B. Zilber (2002)
A theory of a generic function with derivativesLogic Algebra, Contem. Math., 302
-
P. Koiran (2002)
The theory of Liouville functionsJournal of Symbolic Logic, 68
-
B. Weglorz (1966)
Equationally compact algebras (III)Fundamenta Mathematicae, 59
- Publisher
- Springer Journals
- Copyright
- Copyright © 2006 by Springer-Verlag
- Subject
- Mathematics; Algebra; Mathematics, general; Mathematical Logic and Foundations
- ISSN
- 0933-5846
- eISSN
- 1432-0665
- DOI
- 10.1007/s00153-006-0007-1
- Publisher site
- See Article on Publisher Site
Abstract
Following the introduction and preliminary investigations of analytic Zariski structures in Peatfield and Zilber (Ann pure Appl Logic 132:125–180, 2005) an example of an analytic Zariski structure extending an algebraically closed field is provided. The example is constructed using Hrushovski’s method of free amalgamation, and a topology is introduced in which we can verify the analytic Zariski axioms.
Journal
Archive for Mathematical Logic – Springer Journals
Published: Jun 8, 2006