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Differential simplicity, Cohen-Macaulayness and formal prime divisors

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Publication:1208212
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DOI10.1016/0022-4049(93)90158-PzbMath0793.13011MaRDI QIDQ1208212

Yves Lequain, Ada Maria de Souza Doering, Paulo R. Brumatti

Publication date: 16 May 1993

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


zbMATH Keywords

Hasse-Schmidt derivationsHenselizationCohen- Macaulaynessdifferential simplicitydifferentially simple domainsH-S derivation


Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohen-Macaulay modules (13C14) Modules of differentials (13N05) Henselian rings (13J15)


Related Items

Simple Derivations of Graded Affine Algebras in Positive Characteristic ⋮ Maximally differential ideals in regular local rings



Cites Work

  • Unnamed Item
  • Constructing bad Noetherian local domains using derivations
  • Maximally differential prime ideals
  • Local domains with bad sets of formal prime divisors
  • Differentially simple rings
  • Derivations and integral closure
  • Differential simplicity and complete integral closure
  • On the Chain Problem of Prime Ideals
  • Integrable derivations
  • Differential Ideals in Rings of Finitely Generated Type
  • Fibres formelles d'un anneau local noethérien
  • Higher derivations and automorphisms of complete local rings
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