Scheja, Günter Über die Bettizahlen lokaler Ringe. (German) Zbl 0134.27203 Math. Ann. 155, 155-172 (1964). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 27 Documents MSC: 13D02 Syzygies, resolutions, complexes and commutative rings 13H05 Regular local rings Keywords:Betti numbers; local Noetherian rings Citations:Zbl 0073.26004; Zbl 0079.05501; Zbl 0115.03302 PDFBibTeX XMLCite \textit{G. Scheja}, Math. Ann. 155, 155--172 (1964; Zbl 0134.27203) Full Text: DOI EuDML 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 · doi:10.1007/BF01360171 [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 · doi:10.1007/BF01112819 [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 · doi:10.1007/BF01650586 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.