Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A class of differential fields with minimal differential closures


Author: Michael F. Singer
Journal: Proc. Amer. Math. Soc. 69 (1978), 319-322
MSC: Primary 02H13; Secondary 12H05
MathSciNet review: 0465851
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0465851-4
Article copyright: © Copyright 1978 American Mathematical Society