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Book Review
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Book Information
Author(s):
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:
- 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
Additional Information:
Reviewer(s):
M.
Nagata
Review Information:
Journal:
Bull. Amer. Math. Soc.
12
(1985),
175-177.
DOI:
10.1090/S0273-0979-1985-15338-8
PII:
S 0273-0979(1985)15338-8
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