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The Gorenstein property of the associated graded rings of powers of an ideal

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Publication:1193457
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DOI10.1016/0022-4049(92)90004-YzbMath0772.13003WikidataQ126352114 ScholiaQ126352114MaRDI QIDQ1193457

Akira Ooishi

Publication date: 27 September 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

Hilbert functionassociated graded ringGorenstein


Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)




Cites Work

  • Genera and arithmetic genera of commutative rings
  • Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains
  • \(\Delta\)-genera and sectional genera of commutative rings
  • On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal
  • On the Gorensteinness of Rees algebras over local rings


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