Extremal ideals and their form rings

DOI10.1080/00927878408823006zbMath0489.13010OpenAlexW2026414113MaRDI QIDQ3950662

Peter Schenzel

Publication date: 1984

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878408823006

zbMATH Keywords

system of parametersmaximal embedding dimensiond-sequenceBuchsbaum ringsextremal ideal

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Cites Work

• Codimension and multiplicity
• On form rings which are Cohen-Macaulay
• Some criteria for Buchsbaum modules
• Toward a Theory of Buchsbaum Singularities
• Standard systems of parameters and their blowing-up rings.
• Einige Anwendungen der lokalen Dualität und verallgemeinerte Cohen-Macaulay-Moduln
• Form rings and regular sequences
• Verallgemeinerte COHEN-MACAULAY-Moduln

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