Koszulity of Algebras with Nonpure Resolutions

DOI10.1080/00927870902855531zbMath1190.16041arXiv0803.4231OpenAlexW2050034028MaRDI QIDQ3406583

Jun-Ru Si, Di-Ming Lu

Publication date: 19 February 2010

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

Full work available at URL: https://arxiv.org/abs/0803.4231

zbMATH Keywords

graded algebrasprojective resolutionsKoszul algebraspiecewise-Koszul algebrasAS-regular algebrasbi-Koszul algebrasbi-Koszul modules

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 (9)

Koszul property of a class of graded algebras with nonpure resolutions ⋮ Koszul-like algebras and modules. ⋮ Weakly Koszul-like modules. ⋮ The lower and upper bounds of the degree distribution of a graded algebra. ⋮ Discrete Koszul algebras. ⋮ Nonpure piecewise-Koszul algebras. ⋮ \(A\)-infinity structures related to bi-Koszul algebras. ⋮ \((s,t,d)\)-bi-Koszul algebras. ⋮ Some Constructions of Bi-Koszul Algebras

Cites Work

• Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras.
• Generalizing the notion of Koszul algebra.
• Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
• Periodic algebras which are almost Koszul.
• \(d\)-Koszul algebras.
• Finite generation of Ext for a generalization of \(D\)-Koszul algebras.
• Graded Calabi Yau algebras of dimension 3.
• Piecewise-Koszul algebras.
• δ-Koszul Algebras
• Koszulity for nonquadratic algebras.
• Unnamed Item

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