Almost complete intersections and factorial rings

DOI10.1016/0021-8693(81)90113-7zbMath0467.13014OpenAlexW2014304178MaRDI QIDQ1155676

Craig Huneke

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90113-7

zbMATH Keywords

Gorenstein ringSpecalmost complete intersectionslinkage classes of factorial rings

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Complete intersections (14M10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Local rings and semilocal rings (13H99)

Related Items

Reduction of the small Cohen-Macaulay conjecture to excellent unique factorization domains ⋮ Residual intersections and linear powers ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ The mathematical contributions of Craig Huneke ⋮ Associated primes and syzygies of linked modules ⋮ Gorenstein rings as specializations of unique factorization domains

Cites Work

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• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• Liaison des variétés algébriques. I
• The theory of d-sequences and powers of ideals
• Almost complete intersections are not Gorenstein rings
• Criteria for equality of ordinary and symbolic powers of primes
• A note on factorial rings
• Complete Intersections and Connectedness
• Symbolic powers of prime ideals and special graded algebras
• On the Factoriality of Local Rings of Small Embedding Codimension