Differential forms on regular affine algebras

Hochschild, G.; Kostant, Bertram; Rosenberg, Alex

doi:10.1090/S0002-9947-1962-0142598-8

Differential forms on regular affine algebras
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by G. Hochschild, Bertram Kostant and Alex Rosenberg

Trans. Amer. Math. Soc. 102 (1962), 383-408

DOI: https://doi.org/10.1090/S0002-9947-1962-0142598-8

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References

Maurice Auslander, On the dimension of modules and algebras. III. Global dimension, Nagoya Math. J. 9 (1955), 67–77. MR 74406
Maurice Auslander and David A. Buchsbaum, Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390–405. MR 86822, DOI 10.1090/S0002-9947-1957-0086822-7

Séminaire

Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
Pierre Cartier, Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France 86 (1958), 177–251 (French). MR 106223
Claude Chevalley, Introduction to the Theory of Algebraic Functions of One Variable, Mathematical Surveys, No. VI, American Mathematical Society, New York, N. Y., 1951. MR 0042164
G. Hochschild, Double vector spaces over division rings, Amer. J. Math. 71 (1949), 443–460. MR 29889, DOI 10.2307/2372257
G. Hochschild, Relative homological algebra, Trans. Amer. Math. Soc. 82 (1956), 246–269. MR 80654, DOI 10.1090/S0002-9947-1956-0080654-0
G. Hochschild, Note on relative homological dimension, Nagoya Math. J. 13 (1958), 89–94. MR 100015
Ernst Kunz, Die Primidealteiler der Differenten in allgemeinen Ringen, J. Reine Angew. Math. 204 (1960), 165–182 (German). MR 124348, DOI 10.1515/crll.1960.204.165
Alex Rosenberg and Daniel Zelinsky, Cohomology of infinite algebras, Trans. Amer. Math. Soc. 82 (1956), 85–98. MR 78358, DOI 10.1090/S0002-9947-1956-0078358-3
Jean-Pierre Serre, Sur la dimension homologique des anneaux et des modules noethériens, Proceedings of the international symposium on algebraic number theory, Tokyo & Nikko, 1955, Science Council of Japan, Tokyo, 1956, pp. 175–189 (French). MR 0086071
John Tate, Homology of Noetherian rings and local rings, Illinois J. Math. 1 (1957), 14–27. MR 86072
Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0120249