A cohomological description of abelian Galois extensions
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- by Morris Orzech
- Trans. Amer. Math. Soc. 137 (1969), 481-499
- DOI: https://doi.org/10.1090/S0002-9947-1969-0238838-3
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References
- S. A. Amitsur, Simple algebras and cohomology groups of arbitrary fields, Trans. Amer. Math. Soc. 90 (1959), 73–112. MR 101265, DOI 10.1090/S0002-9947-1959-0101265-7
- S. A. Amitsur, Homology groups and double complexes for arbitrary fields, J. Math. Soc. Japan 14 (1962), 1–25. MR 144941, DOI 10.2969/jmsj/01410001 N. Bourbaki, Algèbre commutative, Actualités Sci. Ind., No. 1290, Hermann, Paris, 1962, Chapters I, II.
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Stephen U. Chase, Abelian extensions and a cohomology theory of Harrison, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 375–403. MR 0237608
- S. U. Chase, D. K. Harrison, and Alex Rosenberg, Galois theory and Galois cohomology of commutative rings, Mem. Amer. Math. Soc. 52 (1965), 15–33. MR 195922
- S. U. Chase and Alex Rosenberg, Amitsur cohomology and the Brauer group, Mem. Amer. Math. Soc. 52 (1965), 34–79. MR 195923
- S. U. Chase and Alex Rosenberg, A theorem of Harrison, Kummer theory, and Galois algebras, Nagoya Math. J. 27 (1966), 663–685. MR 210751, DOI 10.1017/S0027763000026465
- F. R. DeMeyer, Some notes on the general Galois theory of rings, Osaka Math. J. 2 (1965), 117–127. MR 182645
- Roger Godement, Topologie algébrique et théorie des faisceaux, Publ. Inst. Math. Univ. Strasbourg. No. 13, Hermann, Paris, 1958 (French). MR 0102797
- D. K. Harrison, Abelian extensions of arbitrary fields, Trans. Amer. Math. Soc. 106 (1963), 230–235. MR 142545, DOI 10.1090/S0002-9947-1963-0142545-X
- D. K. Harrison, Abelian extensions of commutative rings, Mem. Amer. Math. Soc. 52 (1965), 1–14. MR 195921
- Alex Rosenberg and Daniel Zelinsky, Amitsur’s complex for inseparable fields, Osaka Math. J. 14 (1962), 219–240. MR 142604
- Yasuji Takeuchi, On Galois extensions over commutative rings, Osaka Math. J. 2 (1965), 137–145. MR 182646
- Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 137 (1969), 481-499
- MSC: Primary 13.90
- DOI: https://doi.org/10.1090/S0002-9947-1969-0238838-3
- MathSciNet review: 0238838