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A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring. (English) Zbl 0316.13011

MSC:
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
13G05 Integral domains
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References:
[1] BRESINSKY, H.: On prime ideals with generic zero \(x_i = t^{n_i }\) to appear. · Zbl 0296.13007
[2] LIPMAN, J.: Stable ideals and Arf rings, Am. J. Math. 93 (1971) 649-685. · Zbl 0228.13008 · doi:10.2307/2373463
[3] MATLIS, E.: One-dimensional Cohen-Macaulay rings, Lecture Notes in Math. (Springer, Berlin, 1973). · Zbl 0264.13012
[4] MOH, T.T.: On the unboundness of generators of prime ideals in powerseries rings of three variables, J. Math. Soc.Japan, 26 (1974) 723-734.
[5] SALLY, J.D.: On the Number of Generators of Powers of an Ideal, preprint. · Zbl 0313.13002
[6] SALLY, J.D. and W.V. Vasconcelos: Stable rings. Journal of Pure and Applied Algebra 4 (1974), 319-336. · Zbl 0284.13010 · doi:10.1016/0022-4049(74)90012-7
[7] ZARISKI, O.: Commutative Algebra, vol. II, Van Nostrand. · Zbl 0121.27801
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