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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Basic elements: Theorems from algebraic $K$-theory


Authors: David Eisenbud and E. Graham Evans Jr.
Journal: Bull. Amer. Math. Soc. 78 (1972), 546-549
MSC (1970): Primary 13C10, 13D15; Secondary 10A54
MathSciNet review: 0297755
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  • 1. H. Bass, 𝐾-theory and stable algebra, Inst. Hautes Études Sci. Publ. Math. 22 (1964), 5–60. MR 0174604 (30 #4805)
  • 2. Otto Forster, Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring, Math. Z. 84 (1964), 80–87 (German). MR 0163932 (29 #1231)
  • 3. M. Pavaman Murthy, Generators for certain ideals in rings of dimension three (to appear).
  • 4. J.-P. Serre, Modules projectifs et espaces fibrés à fibre vectorielle, Séminaire P. Dubreil, M.-L. Dubreil-Jacotin et C. Pisot, 1957/58, Fasc. 2, Exposé 23, Secrétariat mathématique, Paris, 1958, pp. 18 (French). MR 0177011 (31 #1277)
  • 5. Richard G. Swan, The number of generators of a module, Math. Z. 102 (1967), 318–322. MR 0218347 (36 #1434)
  • 6. R. G. Swan, Algebraic 𝐾-theory, Lecture Notes in Mathematics, No. 76, Springer-Verlag, Berlin-New York, 1968. MR 0245634 (39 #6940)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1972-12992-6
PII: S 0002-9904(1972)12992-6