On the Galois theory of purely inseparable field extensions
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- by Murray Gerstenhaber and Avigdor Zaromp PDF
- Bull. Amer. Math. Soc. 76 (1970), 1011-1014
References
- Emil Artin, Galois Theory, 2nd ed., Notre Dame Mathematical Lectures, no. 2, University of Notre Dame, Notre Dame, Ind., 1944. MR 0009934
- N. Jacobson, Galois theory of purely inseparable fields of exponent one, Amer. J. Math. 66 (1944), 645–648. MR 11079, DOI 10.2307/2371772
- Nathan Jacobson, Lectures in abstract algebra. Vol III: Theory of fields and Galois theory, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London-New York, 1964. MR 0172871
- Murray Gerstenhaber, On the deformation of rings and algebras. III, Ann. of Math. (2) 88 (1968), 1–34. MR 240167, DOI 10.2307/1970553
- Moss Eisenberg Sweedler, Structure of inseparable extensions, Ann. of Math. (2) 87 (1968), 401–410. MR 223343, DOI 10.2307/1970711 6. A. Zaromp, On Abelian families of approximate automorphisms of purely inseparable field extensions, Dissertation, University of Pennsylvania, Philadelphia, Pa., 1968.
Additional Information
- 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