Homological dimension in local rings
HTML articles powered by AMS MathViewer
- by Maurice Auslander and David A. Buchsbaum PDF
- Trans. Amer. Math. Soc. 85 (1957), 390-405 Request permission
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 Noetherian rings, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 36–38. MR 75190, DOI 10.1073/pnas.42.1.36
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc. 59 (1946), 54–106. MR 16094, DOI 10.1090/S0002-9947-1946-0016094-3
- Wolfgang Gröbner, Moderne algebraische Geometrie. Die idealtheoretischen Grundlagen, Springer-Verlag, Vienna-Innsbruck, 1949 (German). MR 0034049 W. Krull, Dimensiontheorie in Stellenringen, J. Crelle vol. 179 (1938).
- D. G. Northcott, Ideal theory, Cambridge Tracts in Mathematics and Mathematical Physics, No. 42, Cambridge, at the University Press, 1953. MR 0058575 P. Samuel, Commutative algebra (Notes by D. Hertzig), Cornell University, 1953. J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math. vol. 61 (1955). —, Sur la dimension des anneaux et des modules noethériens, Proceedings of the International Symposium on Algebraic Number Theory, Tokyo and Nikko, 1955, Science Council of Japan, Tokyo, 1956.
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 85 (1957), 390-405
- MSC: Primary 18.0X
- DOI: https://doi.org/10.1090/S0002-9947-1957-0086822-7
- MathSciNet review: 0086822