Serre's Condition Rℓfor Affine Semigroup Rings

DOI10.1080/00927870802231262zbMath1170.13002arXiv0712.3818OpenAlexW2163090663MaRDI QIDQ3619823

Marie A. Vitulli

Publication date: 9 April 2009

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

Full work available at URL: https://arxiv.org/abs/0712.3818

zbMATH Keywords

monomial idealRees algebraaffine semigroupSerre's \(R_{\ell}\)

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Edge rings satisfying Serre’s condition $(R_{1})$ ⋮ Quadratic-monomial generated domains from mixed signed, directed graphs

Cites Work

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• On graded rings. II: \(\mathbb{Z}\)-graded rings
• Lectures on Polytopes
• Some Results on Normal Homogeneous Ideals
• On a non-vanishing conjecture of Kawamata and the core of an ideal
• Core versus graded core, and global sections of line bundles
• Normal ideals of graded rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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