Four-vertex quivers supporting twisted graded Calabi-Yau algebras

DOI10.1016/j.laa.2024.02.023arXiv2305.06418MaRDI QIDQ6131329

Jason Gaddis, Caleb Wright, Thy Nguyen, Thomas Lamkin

Publication date: 5 April 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.06418

zbMATH Keywords

quiverOre extensionskew group ringgraded twistMcKay matrixtwisted graded Calabi-Yau algebra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Twisted and skew group rings, crossed products (16S35)

Cites Work

• Unnamed Item
• Skew Calabi-Yau algebras and homological identities.
• Twisted Calabi-Yau property of Ore extensions.
• \(m\)-Koszul Artin-Schelter regular algebras
• Superpotentials and higher order derivations.
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• Gourmet's guide to Gorensteinness
• Quivers supporting twisted Calabi-Yau algebras
• Growth of graded twisted Calabi-Yau algebras
• Graded Calabi Yau algebras of dimension 3.
• Canonical singularities of orders over surfaces
• Twisted Graded Algebras and Equivalences of Graded Categories
• GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR

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