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Properties of \(H_1\)-rings

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Publication:1136807
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DOI10.1007/BF02411990zbMath0427.13005OpenAlexW2912207937MaRDI QIDQ1136807

M. Edward jun. Pettit

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02411990


zbMATH Keywords

heightdepthHi-ringslocal domainNagata's chain conjectures


Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99) Chain conditions, finiteness conditions in commutative ring theory (13E99)




Cites Work

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  • On the Chain Problem of Prime Ideals
  • On Quasi-Unmixed Semi-Local Rings and the Altitude Formula
  • On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
  • Note on a chain condition for prime ideals
  • On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
  • Characterizations of Catenary Rings
  • Catenary Rings and the Altitude Formula




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