Split bounded extension algebras and Han's conjecture

DOI10.2140/pjm.2020.307.63zbMath1451.16006arXiv1908.11130OpenAlexW3048059871WikidataQ122112968 ScholiaQ122112968MaRDI QIDQ785760

Claude Cibils, Andrea L. Solotar, Eduardo do N. Marcos, Marcelo Américo Lanzilotta

Publication date: 10 August 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11130

zbMATH Keywords

homologyquiverrelativeHochschildHan's conjecture

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) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (3)

Erratum to: ``Split bounded extension algebras and Han's conjecture ⋮ Han's conjecture for bounded extensions ⋮ Jacobi–Zariski long nearly exact sequences for associative algebras

Cites Work

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• Hochschild homology and cohomology of generalized Weyl algebras: the quantum case.
• Jacobi-Zariski exact sequence for Hochschild homology and cyclic (co)homology
• Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)
• Rigidity of truncated quiver algebras
• Homology and cohomology of quantum complete intersections.
• A Hodge-type decomposition for commutative algebra cohomology
• Cyclic homology of algebras with one generator
• Quiver representations.
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• On the cohomology groups of an associative algebra
• Exact categories
• Hochschild homology and trivial extension algebras
• On the Dimension of Modules and Algebras (III): Global Dimension
• Relative Homological Algebra
• Hochschild homology and global dimension
• Higher algebraic K-theory: I
• On the hochschild homology decompositions
• Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
• HOCHSCHILD (CO)HOMOLOGY DIMENSION

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