Basic elements: Theorems from algebraic $K$-theory
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- by David Eisenbud and E. Graham Evans Jr. PDF
- Bull. Amer. Math. Soc. 78 (1972), 546-549
References
- H. Bass, $K$-theory and stable algebra, Inst. Hautes Études Sci. Publ. Math. 22 (1964), 5–60. MR 174604, DOI 10.1007/BF02684689
- Otto Forster, Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring, Math. Z. 84 (1964), 80–87 (German). MR 163932, DOI 10.1007/BF01112211 3. M. Pavaman Murthy, Generators for certain ideals in rings of dimension three (to appear).
- 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
- Richard G. Swan, The number of generators of a module, Math. Z. 102 (1967), 318–322. MR 218347, DOI 10.1007/BF01110912
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Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 546-549
- MSC (1970): Primary 13C10, 13D15; Secondary 10A54
- DOI: https://doi.org/10.1090/S0002-9904-1972-12992-6
- MathSciNet review: 0297755