Finite generation of Ext for a generalization of \(D\)-Koszul algebras.

DOI10.1016/j.jalgebra.2005.10.026zbMath1145.16003OpenAlexW1998593795MaRDI QIDQ2368729

Nicole Snashall, Edward Lee Green

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.10.026

zbMATH Keywords

monomial algebrasKoszul algebrasfinitely generated Ext-algebrasresolution determined algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items

Koszul property of a class of graded algebras with nonpure resolutions ⋮ Koszul-like algebras and modules. ⋮ δ-Koszulity of Finitely Generated Graded Modules ⋮ Hochschild cohomology, finiteness conditions and a generalization of d-Koszul algebras ⋮ \(d\)-Koszul algebras, 2-\(d\)-determined algebras and 2-\(d\)-Koszul algebras. ⋮ Discrete Koszul algebras. ⋮ Support Varieties for Modules Over Stacked Monomial Algebras ⋮ Koszulity of Algebras with Nonpure Resolutions ⋮ \((s,t,d)\)-bi-Koszul algebras.

Cites Work

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• On the homology of quotients of path algebras
• Koszul Duality Patterns in Representation Theory
• δ-Koszul Algebras
• The Hochschild cohomology ring modulo nilpotence of a stacked monomial algebra
• Koszulity for nonquadratic algebras.

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