Piecewise-Koszul algebras.

DOI10.1007/s11425-007-0136-yzbMath1137.16032arXiv1109.3761OpenAlexW2120473647MaRDI QIDQ2475326

Di-Ming Lu, Jia Feng Lü, Ji-Wei He

Publication date: 11 March 2008

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

Full work available at URL: https://arxiv.org/abs/1109.3761

zbMATH Keywords

graded algebrasquadratic algebrasYoneda-Ext algebras\(A\)-infinity algebraspiecewise Koszul algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (13)

Koszul property of a class of graded algebras with nonpure resolutions ⋮ Koszul-like algebras and modules. ⋮ Quasi-\(d\)-Koszul modules and applications. ⋮ Generalization of quasi-Koszul algebras. ⋮ Generalized Koszul algebra and Koszul duality ⋮ The lower and upper bounds of the degree distribution of a graded algebra. ⋮ \((p,\lambda)\)-Koszul algebras and modules. ⋮ The quadratic algebras in Artin-Schelter regular algebras of dimension five ⋮ HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS ⋮ \(A\)-infinity structures related to bi-Koszul algebras. ⋮ Koszulity of Algebras with Nonpure Resolutions ⋮ \((s,t,d)\)-bi-Koszul algebras. ⋮ Poincaré-Birkhoff-Witt Deformations of a Class ofN-Homogeneous Algebras

Cites Work

• On modules with linear presentations
• \(d\)-Koszul algebras.
• Higher Koszul algebras and \(A\)-infinity algebras.
• ON MODULES WITH LINEAR PRESENTATIONS OVER KOSZUL ALGEBRAS
• Koszul Duality Patterns in Representation Theory
• δ-Koszul Algebras
• Introduction to \(A\)-infinity algebras and modules
• Koszulity for nonquadratic algebras.
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