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Über die Bettizahlen lokaler Ringe. (German) Zbl 0134.27203


MSC:

13D02 Syzygies, resolutions, complexes and commutative rings
13H05 Regular local rings
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References:

[1] Abhyankar, S. S.: Concepts of order and rank on a complex space, and a condition for normality. Math. Ann.141, 171-192 (1960). · Zbl 0107.15001
[2] Assmus jr., E. F.: On the homology of local rings. Illinois J. Math.3, 187-199 (1959). · Zbl 0085.02401
[3] Bass, H.: On the ubiquity of Gorenstein rings. Math. Zeitschr.82, 8-28 (1963). · Zbl 0112.26604
[4] Cartan, H., andS. Eilenberg: Homological Algebra. Princeton Univ. Press. 1956. · Zbl 0075.24305
[5] Murthy, M. P.: A note on the ?Primbasissatz?. Arch. Math.7, 425-428 (1961). · Zbl 0118.27203
[6] Scheja, G.: Beiträge zur Syzygientheorie der geometrischen und abstrakten lokalen Ringe. Habilitationsschrift Münster 1962.
[7] Serre, J. P.: Sur la dimension homologique des anneaux et des modules noethériens. Proc. Int. Symp. on Algebraic Number Theory, Tokyo. 175-189 (1955).
[8] Tate, J.: Homology of noetherian rings and local rings. Illinois J. Math.1, 14-27 (1957). · Zbl 0079.05501
[9] Zariski, O., andP. Samuel: Commutative Algebra, Bd. II. New York: D. van Nostrand Comp. 1960. · Zbl 0121.27801
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