Israel Journal of Mathematics

, Volume 16, Issue 3, pp 314-328

First online:

Differentially closed fields

  • Saharon ShelahAffiliated withThe Hebrew University of Jerusalem

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We prove that even the prime, differentially closed field of characteristic zero, is not minimal; that over every differential radical field of characteristicp, there is a closed prime one, and that the theory of closed differential radical fields is stable.