Israel Journal of Mathematics

, Volume 79, Issue 2, pp 129–151

Strongly minimal expansions of algebraically closed fields

  • Ehud Hrushovski
Article

DOI: 10.1007/BF02808211

Cite this article as:
Hrushovski, E. Israel J. Math. (1992) 79: 129. doi:10.1007/BF02808211

Abstract

(1) We construct a strongly minimal expansion of an algebraically closed field of a given characteristic. Actually we show a much more general result, implying for example the existence of a strongly minimal set with two different field structures of distinct characteristics.

(2) A strongly minimal expansion of an algebraically closed field that preserves the algebraic closure relation must be an expansion by (algebraic) constants.

Copyright information

© Hebrew University 1992

Authors and Affiliations

  • Ehud Hrushovski
    • 1
  1. 1.Institute of MathematicsThe Hebrew University Givat RamJerusalem