The dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic.

DOI10.1016/J.JALGEBRA.2013.12.031zbMath1304.16012OpenAlexW2086730493MaRDI QIDQ401637

Tomohiro Itagaki, Katsunori Sanada

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.12.031

zbMATH Keywords

projective resolutionscyclic homologyHochschild homologymixed complexesspectral sequencestruncated quiver algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) (K)-theory and homology; cyclic homology and cohomology (19D55) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (4)

The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras ⋮ Cyclic homology of truncated quiver algebras. ⋮ Notes on the Hochschild homology dimension and truncated cycles. ⋮ On the Cyclic Homology of an Algebra Associated with a Cyclic Quiver and a Monic Polynomial

Cites Work

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• The Hochschild Homology of Truncated and Quadratic Monomial Algebras
• On the hochschild cohomology of truncated cycle algebras
• HOCHSCHILD (CO)HOMOLOGY DIMENSION
• Cyclic homology of quadratic monomial algebras

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