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Stable ideals in Gorenstein local rings

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Publication:757501
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DOI10.1016/0022-4049(90)90042-GzbMath0723.13005MaRDI QIDQ757501

Akira Ooishi

Publication date: 1990

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


zbMATH Keywords

multiplicityassociated graded ringGorensteinstable ideal


Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)


Related Items (4)

Tangent cones at curve and surface singularities ⋮ On the self-dual maximal Cohen-Macaulay modules ⋮ On the conductor of the blowing-up of a one-dimensional Gorenstein local ring ⋮ Reduction Numbers and Rees Algebras of Powers of an Ideal



Cites Work

  • Unnamed Item
  • Genera and arithmetic genera of commutative rings
  • Genera of curve singularities
  • \(\Delta\)-genera and sectional genera of commutative rings
  • Birational extensions in dimension two and integrally closed ideals
  • On form rings which are Cohen-Macaulay
  • On Serre's conditions in the form ring of an ideal
  • Form rings and regular sequences
  • Stable Ideals and Arf Rings




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