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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A Galois theory for a class of inseparable field extensions


Author: R. L. Davis
Journal: Trans. Amer. Math. Soc. 213 (1975), 195-203
MSC: Primary 12F15
DOI: https://doi.org/10.1090/S0002-9947-1975-0379453-3
MathSciNet review: 0379453
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Abstract: The structure of the group of rank n higher derivations in a field K is discussed and a characterization of its Galois subgroups is given. This yields a Galois type correspondence between these subgroups and the subfields over which K is purely inseparable, finite dimensional and modular.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0379453-3
Keywords: Higher derivation, purely inseparable, p-basis
Article copyright: © Copyright 1975 American Mathematical Society