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On the Hilbert function of certain non Cohen-Macaulay one-dimensional rings

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Publication:1293293
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DOI10.1216/RMJM/1181071690zbMath0961.13010OpenAlexW2058314563MaRDI QIDQ1293293

Silvia Molinelli, Grazia Tamone

Publication date: 11 October 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-1/CONT29-1/CONT29-1.html


zbMATH Keywords

associated graded ringHilbert seriesnon Cohen-Macaulay ring


Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)


Related Items (7)

On the \(H\)-polynomial of certain monomial curves ⋮ Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences ⋮ On semigroup rings with decreasing Hilbert function ⋮ On the Hilbert Function of Four-Generated Numerical Semigroup Rings ⋮ ON THE COHEN–MACAULAYNESS OF SOME GRADED RINGS ⋮ CM defect and Hilbert functions of monomial curves ⋮ On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴







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