New algebraic properties of quadratic quotients of the Rees algebra

DOI10.1142/S0219498819500476zbMath1451.13029arXiv1706.06180OpenAlexW2963916013WikidataQ130118830 ScholiaQ130118830MaRDI QIDQ5383821

Marco D'Anna, Francesco Strazzanti

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06180

zbMATH Keywords

Serre's conditionslocalizationsamalgamated duplicationidealizationquasi-Gorenstein rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Rings of fractions and localization for commutative rings (13B30)

Related Items (8)

On quotients of Rees algebras ⋮ A construction of Prüfer rings involving quotients of Rees algebras ⋮ Some properties of a family of quotients of the Rees algebra ⋮ Family of quotients of some special rings ⋮ A characterization of the Arf property for quadratic quotients of the Rees algebra ⋮ The graph of zero-divisors of quadratic quotients of Rees algebras ⋮ Some algebraic and homological properties of a family of quotients of the Rees algebra ⋮ The Hilbert-Kunz function of some quadratic quotients of the Rees algebra

Cites Work

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• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• A construction of Prüfer rings involving quotients of Rees algebras
• A Family of Quotients of the Rees Algebra
• A CONSTRUCTION OF QUASI-GORENSTEIN RINGS

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