A counterexample to a conjecture of Ding

DOI10.1016/J.JALGEBRA.2016.01.015zbMath1401.13071arXiv1506.09168OpenAlexW2963898157WikidataQ57456896 ScholiaQ57456896MaRDI QIDQ5964505

Alessandro De Stefani

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1506.09168

zbMATH Keywords

Gorenstein ringAuslander's delta invariantDing's conjecturegeneralized Löewy lengthindex of a ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cohen-Macaulay modules (13C14)

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Hilbert functions of filtered modules
• Some remarks on index and generalized Loewy length of a Gorenstein local ring
• The homological theory of maximal Cohen-Macaulay approximations
• A note on the index of cohen-macaulay local rings
• Form rings and regular sequences
• The Associated Graded Ring and the Index of a Gorenstein Local Ring
• Auslander's δ-Invariants of Gorenstein Local Rings
• Convex and Discrete Geometry
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