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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: N. Bourbaki
Title: Éléments de mathématique. Algèbre commutative
Additional book information: Chapitres 8 et 9, Masson, Paris, 1983, 200 pp., 150F. ISBN 2-2257-8716-6.

References [Enhancements On Off] (What's this?)

  • 1. W. Krull, Dimensionstheorie in Stellenringen, J. Reine Angew. Math. 179 (1938), 204-226.
  • 2. C. Chevalley, On the theory of local rings, Ann. of Math. (2) 44 (1943), 690-708. MR 9603
  • 3. C. Chevalley, Intersections of algebraic and algebroid varieties, Trans. Amer. Math. Soc. 57 (1945), 1-85. MR 12458
  • 4. I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc. 59 (1946), 54-106. MR 16094
  • 5. M. Samuel, La notion de multiplicité en algèbre et en géométrie algébrique, J. Math. Pures Appl. 30 (1951), 159-274; These, Paris, 1951. MR 48103
  • 6. J.-P. Serre, Sur la dimension homologique des anneaux et des modules noetherian, Proc. Internat. Sympos. (Tokyo-Nikko, 1955), Scientific Council of Japan, Tokyo, 1956, pp. 175-189. MR 86071
  • 7. M. Nagata, The theory of multiplicity in general local rings, Proc. Internat. Sympos. (Tokyo-Nikko, 1955), Scientific Council of Japan, Tokyo, 1956, pp. 191-226. MR 82966
  • 8. M. Nagata, Local rings, Wiley, New York, 1962; reprint, Kreager, Huntington. MR 155856

Review Information:

Reviewer: M. Nagata
Journal: Bull. Amer. Math. Soc. 12 (1985), 175-177
DOI: https://doi.org/10.1090/S0273-0979-1985-15338-8
American Mathematical Society