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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Deformations of a two-generator purely inseparable field of exponent $ 1$


Author: Francis P. Callahan
Journal: Proc. Amer. Math. Soc. 62 (1977), 189-195
MSC: Primary 12F15
MathSciNet review: 0568489
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Abstract: This paper gives a discussion of the algebraic deformations of a two-generator purely inseparable field of exponent 1, this being the simplest field having noncommutative deformations. It gives a necessary condition for a 2-cocycle to be integrable and, if it is allowed to adjoin a single separable element to the groundfield, also a sufficient condition for a 2-cocycle to be integrable.

The method used is to study certain skew symmetric biderivations associated with the field.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0568489-2
PII: S 0002-9939(1977)0568489-2
Article copyright: © Copyright 1977 American Mathematical Society



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