Notes on the Hochschild homology dimension and truncated cycles.

DOI10.1007/S00013-014-0683-8zbMath1304.16013OpenAlexW2050341044MaRDI QIDQ466776

Katsunori Sanada, Tomohiro Itagaki

Publication date: 31 October 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0683-8

zbMATH Keywords

Hochschild homology groupsglobal dimensionHochschild homology dimensionno loops conjecturetruncated cycles

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
• The dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic.
• A proof of the strong no loop conjecture.
• Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras.
• Finite Hochschild cohomology without finite global dimension.
• Notes on the no loops conjecture
• The alternating syzygy behavior of monomial algebras
• Cohomology of incidence algebras and simplicial complexes
• Nilpotente Elemente in Ringen von endlicher globaler Dimension
• Cyclic and Hochschild homology of 2-nilpotent algebras
• The Hochschild Homology of Truncated and Quadratic Monomial Algebras
• Hochschild homology and truncated cycles
• HOCHSCHILD (CO)HOMOLOGY DIMENSION
• Cyclic homology of quadratic monomial algebras

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