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Differentially simple rings

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Publication:1252900
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DOI10.1016/0021-8693(78)90281-8zbMath0395.13015OpenAlexW2051679304MaRDI QIDQ1252900

William C. Brown

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90281-8


zbMATH Keywords

Integral DomainConductorGeometrically UnibranchedHigher Derivations of Infinite RankIntegrable Derivation


Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Regular local rings (13H05) Modules of differentials (13N05)


Related Items (3)

Differential and difference algebra ⋮ Differential simplicity, Cohen-Macaulayness and formal prime divisors ⋮ Tight closure and differential simplicity



Cites Work

  • Unnamed Item
  • A criterion for a point to be geometrically unibranched
  • Derivations and integral closure
  • Differential simplicity and complete integral closure
  • High order derivations. I
  • Higher derivations and automorphisms of complete local rings
  • Going Down in Polynomial Rings
  • Ideals and Higher Derivations in Commutative Rings


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