Generating absolute prime ideals

DOI10.1016/0022-4049(89)90101-1zbMath0693.13006OpenAlexW2016157466MaRDI QIDQ584327

Dana Weston

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90101-1

zbMATH Keywords

absolute prime idealsthree-dimensional local non-Cohen-Macaulay factorial domain

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (3)-folds (14J30) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items

Factorial henselian rings with non-factorial completions, Some results in local rings on ramification in low codimension

Cites Work

• Properties of Noetherian rings stable under general grade reduction
• On descent in dimension two and non-split Gorenstein modules
• Bourbaki's theorem and prime ideals
• Local domains with bad sets of formal prime divisors
• Algebraische Eigenschaften der lokalen Ringe in den Spitzen der Hilbertschen Modulgruppen
• Generating modules efficiently: Theorems from algebraic K-theory
• A complete local factorial ring of dimension 4 which is not Cohen-Macaulay
• Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$
• Projective Modules over Laurent Polynomial Rings
• Local Cohomology Modules for Normal Domains
• Note on coefficient fields of complete local rings
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
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