On finitely generated modules over Noetherian rings
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- by J. P. Jans
- Trans. Amer. Math. Soc. 106 (1963), 330-340
- DOI: https://doi.org/10.1090/S0002-9947-1963-0142585-0
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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
- Hyman Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. MR 157984, DOI 10.1090/S0002-9947-1960-0157984-8
- Hyman Bass, Injective dimension in Noetherian rings, Trans. Amer. Math. Soc. 102 (1962), 18–29. MR 138644, DOI 10.1090/S0002-9947-1962-0138644-8
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- J. P. Jans, Duality in Noetherian rings, Proc. Amer. Math. Soc. 12 (1961), 829–835. MR 137743, DOI 10.1090/S0002-9939-1961-0137743-9
- D. Rees, The grade of an ideal or module, Proc. Cambridge Philos. Soc. 53 (1957), 28–42. MR 82967, DOI 10.1017/s0305004100031960
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 106 (1963), 330-340
- MSC: Primary 16.25; Secondary 16.40
- DOI: https://doi.org/10.1090/S0002-9947-1963-0142585-0
- MathSciNet review: 0142585