A class of differential fields with minimal differential closures

Singer, Michael F.

doi:10.1090/S0002-9939-1978-0465851-4

A class of differential fields with minimal differential closures
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by Michael F. Singer

Proc. Amer. Math. Soc. 69 (1978), 319-322

DOI: https://doi.org/10.1090/S0002-9939-1978-0465851-4

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Abstract:

We give examples of differential fields which are not differentially closed but which become differentially closed when one adjoins $\sqrt { - 1}$; differential fields whose differential closures are therefore minimal.

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