Differential forms on regular affine algebras
Authors:
G. Hochschild, Bertram Kostant and Alex Rosenberg
Journal:
Trans. Amer. Math. Soc. 102 (1962), 383-408
MSC:
Primary 18.20; Secondary 14.52
DOI:
https://doi.org/10.1090/S0002-9947-1962-0142598-8
MathSciNet review:
0142598
Full-text PDF
References | Similar Articles | Additional Information
- [1] Maurice Auslander, On the dimension of modules and algebras. III. Global dimension, Nagoya Math. J. 9 (1955), 67–77. MR 0074406
- [2] Maurice Auslander and David A. Buchsbaum, Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390–405. MR 0086822, https://doi.org/10.1090/S0002-9947-1957-0086822-7
- [3] H. Cartan et C. Chevalley, Séminaire 1955/56, Ecole Norm. Sup. Paris, 1956.
- [4] Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- [5] Pierre Cartier, Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France 86 (1958), 177–251 (French). MR 0106223
- [6] 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
- [7] G. Hochschild, Double vector spaces over division rings, Amer. J. Math. 71 (1949), 443–460. MR 0029889, https://doi.org/10.2307/2372257
- [8] G. Hochschild, Relative homological algebra, Trans. Amer. Math. Soc. 82 (1956), 246–269. MR 0080654, https://doi.org/10.1090/S0002-9947-1956-0080654-0
- [9] G. Hochschild, Note on relative homological dimension, Nagoya Math. J. 13 (1958), 89–94. MR 0100015
- [10] Ernst Kunz, Die Primidealteiler der Differenten in allgemeinen Ringen, J. Reine Angew. Math. 204 (1960), 165–182 (German). MR 0124348, https://doi.org/10.1515/crll.1960.204.165
- [11] Alex Rosenberg and Daniel Zelinsky, Cohomology of infinite algebras, Trans. Amer. Math. Soc. 82 (1956), 85–98. MR 0078358, https://doi.org/10.1090/S0002-9947-1956-0078358-3
- [12] 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
- [13] John Tate, Homology of Noetherian rings and local rings, Illinois J. Math. 1 (1957), 14–27. MR 0086072
- [14] 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
Retrieve articles in Transactions of the American Mathematical Society with MSC: 18.20, 14.52
Retrieve articles in all journals with MSC: 18.20, 14.52
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1962-0142598-8
Article copyright:
© Copyright 1962
American Mathematical Society


