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On the Galois theory of purely inseparable field extensions


Authors: Murray Gerstenhaber and Avigdor Zaromp
Journal: Bull. Amer. Math. Soc. 76 (1970), 1011-1014
MSC (1970): Primary 1360, 1245; Secondary 1240
DOI: https://doi.org/10.1090/S0002-9904-1970-12535-6
MathSciNet review: 0266904
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References [Enhancements On Off] (What's this?)

  • 1. E. Artin, Galois theory, Notre Dame Math. Lectures, no. 2, Univ. of Notre Dame, Notre Dame, Indiana, 1944. MR 5, 225. MR 9934
  • 2. N. Jacobson, Galois theory of purely inseparable fields of exponent one, Amer. J. Math. 66 (1944), 645-648. MR 6, 115. MR 11079
  • 3. N. Jacobson, Lectures in abstract algebra. Vol. III: Theory of fields and Galois theory, Van Nostrand, Princeton, N.J., 1964. MR 30 #3087. MR 172871
  • 4. M. Gerstenhaber, On the deformation of rings and algebras. III, Ann. of Math. (2) 88 (1968), 1-34. MR 39 #1521. MR 240167
  • 5. M. E. Sweedler, Structure of inseparable extensions, Ann. of Math. (2) 87 (1968), 401-410. MR 36 #6391. MR 223343
  • 6. A. Zaromp, On Abelian families of approximate automorphisms of purely inseparable field extensions, Dissertation, University of Pennsylvania, Philadelphia, Pa., 1968.

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DOI: https://doi.org/10.1090/S0002-9904-1970-12535-6

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