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Complete local \((S_{n-1})\) rings of type \(n\geq 3\) are Cohen-Macaulay

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Publication:1330249
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DOI10.3792/pjaa.70.80zbMath0827.13011OpenAlexW2074069865MaRDI QIDQ1330249

Yoichi Aoyama

Publication date: 12 July 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.80


zbMATH Keywords

Cohen-Macaulay property


Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohen-Macaulay modules (13C14)





Cites Work

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  • Existence of dualizing complexes
  • On the ubiquity of Gorenstein rings
  • Complete Local Domains of Type Two are Cohen-Macaulay
  • Unmixed Local Rings of Type Two are Cohen-Macaulay
  • Rings of Type 1 are Gorenstein
  • The Evans-Griffith Syzygy Theorem and Bass Numbers
  • On the $\mu^i$ in a minimal injective resolution II.
  • Local Rings of Relatively Small Type are Cohen-Macaulay
  • Toward a theory of generalized Cohen-Macaulay modules




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