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Existence of Non-trivial Deformations of Inseparable Extension Fields III*

Published online by Cambridge University Press:  22 January 2016

Hiroshi Kimura
Hiroshi Kimura*
Affiliation:
Nagoya University
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Let K be an extension of a field k and p denotes the characteristic. In [4] and [5], we proved that if K is inseparable algebraic over k, then considered as an algebra over k, K is not rigid.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 33 , November 1968 , pp. 129 - 132
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

Footnotes

*)

This work was supported by The Sakkokai Foundation.

References

[1] Gerstenhaber, M., On the deformation of rings and algebras, Ann. of Math. 79 (1964), 59–103.CrossRefGoogle Scholar
[2] Harrison, D.K., Commutative algebras and cohomology, Trans. Amer. Math. Soc., 104 (1962), 191–204.Google Scholar
[3] Jacobson, N., Lectures in abstract algebra III, Van Nastrand, (1964).Google Scholar
[4] Kimura, H., Existence of non-trivial deformations of some inseparable extension fields (to appear).Google Scholar
[5] Kimura, H., Existence of non-trivial deformations of inseparable algebraic extension fields II (to appear).Google Scholar