DG algebra structures on AS-regular algebras of dimension 2

DOI10.1007/S11425-011-4256-ZzbMath1234.16005OpenAlexW2265771394MaRDI QIDQ659983

Xuefeng Mao

Publication date: 24 January 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4256-z

zbMATH Keywords

differential graded algebrasArtin-Schelter regular algebrasKoszul algebrassemi-projective modules

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Differential graded algebras and applications (associative algebraic aspects) (16E45) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (5)

DG Poisson algebra and its universal enveloping algebra ⋮ Ghost length, cone length and complete level of DG modules. ⋮ DG polynomial algebras and their homological properties ⋮ Calabi–Yau properties of nontrivial Noetherian DG down-up algebras ⋮ Isomorphism problem and homological properties of DG-free algebras

Cites Work

• Koszul differential graded algebras and BGG correspondence.
• Compact DG modules and Gorenstein DG algebras.
• Graded algebras of global dimension 3
• Gorenstein spaces
• Prime ideals of Ore extensions over commutative rings. II
• Koszul DG-algebras arising from configuration spaces
• Homology of perfect complexes
• Homological Invariants for Connected DG Algebras
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• Gorenstein space with nonzero evaluation map
• Deriving DG categories
• Linear free resolutions over non-commutative algebras
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