Hochschild cohomology, finiteness conditions and a generalization of d-Koszul algebras

DOI10.1142/S021949882250147XMaRDI QIDQ5089439

Ruaa Jawad, Nicole Snashall

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09883

zbMATH Keywords

Hochschild cohomologyfiniteness conditionprojective resolution\(d\)-Koszulext algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) 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) Quadratic and Koszul algebras (16S37)

Cites Work

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• The varieties and the cohomology ring of a module
• \(d\)-Koszul algebras.
• Finite generation of Ext for a generalization of \(D\)-Koszul algebras.
• Support varieties for selfinjective algebras.
• Minimal projective resolutions
• Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements
• Support Varieties for Modules Over Stacked Monomial Algebras
• The Ext Algebra and a New Generalization ofD-Koszul Algebras
• Support varieties and Hochschild cohomology rings
• The Hochschild cohomology ring modulo nilpotence of a stacked monomial algebra
• Koszulity for nonquadratic algebras.

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