Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$

DOI10.24033/asens.1285zbMath0303.13015OpenAlexW143967080MaRDI QIDQ4059049

Phillip Griffith, Robert M. Fossum

Publication date: 1975

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1975_4_8_2_189_0

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05) Power series rings (13J05)

Related Items (9)

Invariants of formal group law actions ⋮ Completions of rings of invariants and their divisor class groups ⋮ Unnamed Item ⋮ Class groups of localities of rings of invariants of reductive algebraic groups ⋮ Polynomial invariants of finite groups. A survey of recent developments ⋮ Unique factorization in invariant power series rings ⋮ Some applications of the Frobenius in characteristic 0 ⋮ Generating absolute prime ideals ⋮ Quotient-singularities and wild p-cyclic actions

Cites Work

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• A note on factorial rings
• A complete local factorial ring of dimension 4 which is not Cohen-Macaulay
• On the Factoriality of Local Rings of Small Embedding Codimension
• On unique factorization domains

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