On the Non-Cohen–Macaulayness of Certain Factorial Closures

DOI10.1080/00927872.2012.686644zbMath1281.13004OpenAlexW2328780968MaRDI QIDQ2848510

Mariam Imtiaz, Peter Schenzel

Publication date: 26 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.686644

zbMATH Keywords

symmetric algebramonomial curvefactorial closuremonomial module

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items (1)

Remarks on the small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules

Cites Work

• Non-Cohen-Macaulay unique factorization domains in small dimensions
• Hilbert functions and symbolic powers
• Noetherian symbolic blow-ups
• Generators and relations of abelian semigroups and semigroup rings
• On the Factorial Closure of Certain Monomial Modules
• Explicit computations on symbolic powers of monomial curves in affine space
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The Gorensteinness of the Symbolic Blow-Ups for Certain Space Monomial Curves

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